Ratios And Proportions Geometry

posted on: 15 Jun, 2012 | updated on: 18 Jun, 2012

A Ratio is used to represent the relation between two or more values. For example: if there are 10 pencils and 18 pens then we can write the ratio as:
10:18; or we can say that for every 10 pencils there are 18 pens.
In mathematics if an equation written in the form of
$«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»P«/mi»«mi»Q«/mi»«/mfrac»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mfrac»«mi»R«/mi»«mi»S«/mi»«/mfrac»«/math»$ ,where both the ratios PQ and RS are equal, are said to be proportion.

For example: $«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»8«/mn»«mn»10«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»15«/mn»«mn»35«/mn»«/mfrac»«/math»$
⇒(70) (52) = (42) (Y);
Now solve these values for ‘Y’.
⇒3640 = 42 Y;
Here we find the value of ‘Y’.
⇒42 Y = 3640;
⇒Y = $«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»3640«/mn»«mn»42«/mn»«/mfrac»«/math»$
⇒Y = 86.66;
After solving we get the value of Y = 86.66;
There is 86.66 liter water for 52 students.

Topics Covered in Ratios And Proportions Geometry

Ratio

posted on: 15 Jun, 2012 | updated on: 16 Jun, 2012

Ratio is generally used to measure the relation between two Numbers. It is basically comparison of two numbers or quantities. If we have two numbers ‘A’ and ‘B’ then the ratio between ‘A’ and ‘B’ is

A: B or A / B,

Here we can easily see that ‘A/B’ is in rational form. Now we take a phrase and according to t...Read More

Proportions

posted on: 15 Jun, 2012 | updated on: 16 Jun, 2012

When we find the fraction of the related terms, we call it ratio. Word Ratio means to represent the data in form of fraction such that the units of the two terms are equal. We can no find ratio or proportion for any two terms which are unlike. In this session we will study how to solve proportions. Let’s first see what all proportions are. Any four Numbers are said to be I p...Read More

Properties of Proportion

posted on: 15 Jun, 2012 | updated on: 16 Jun, 2012

Ratio is a fraction of two quantities that are of same kind and they can also be expressed in the same units. Example the Ratio of 30 minutes to 12 hours is written as 30 min: 12hours = 30min: 720min = 1 : 24
Proportion is the relation between two ratios when they are equal. In other words, we can say that any two ratios are said to be in proportion if two rati...Read More

Means and Extremes

posted on: 16 Jun, 2012 | updated on: 18 Jun, 2012

Means and extremes are the terms that are commonly used in Ratio and proportion. We say that, two ratios are in proportion, when the product of the means is equal to the product of the extremes. Let us first look at the Mean and extreme terms. If we have two ratios as a : b and c : d and we write that a: b is proportional to c : d, then it is expressed mathematically ...Read More