Solving Proportion
The proportion is the way of expressing the ratio between the part and the whole. A proportion is an equation in which two ratios are set equal to each other. In this concept, cross product can be used to find the unknown number. Here we use letter x in place of unknown number. The condition for proportion is, if four quantities, a, b, c, d, are said to be in proportion if `a/b` = `c/d`. Now let us going to see some of the example problems for solving proportion in this article.
Proportion is also defined as equivalent of two fractions. When we are going to write equivalent fractions, we need to create a proportion
For example:
`2/6` = `4/12`
This is called as proportion
2 x 12 = 24
6 x 4 = 24
So The two cross products are equal.
If any one of the four number is unknown, cross product can be used to find the unknown number. This process is known as solving proportions. Here we use letter X in place of unknown number.
Let us learn about how to solve proportions,
Proportion can be expressed in three forms,`a/b` `c/d` (or) a:b = c:d (or) a:b :: c:d
Important property:
Product of extremes = Product of means
(i) The first and fourth terms are called extremes and
(ii) The second and third terms are called middle terms or means.
Solved Example
Solution:
Product of extremes = 3 x 12 = 36
Product of means = 4 x 9 = 36
36 = 36
These two products are equal.
Therefore 3 : 4 = 9 :12 is a proportion.
To solve the proportion, we have three steps.
Step 1: Applying cross multiplication
Step 2: Make an equation
Step 3: Solve for x variable
Below you could see proportion examples
Solved Examples
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