Top

Proportion Calculator
Top
 A ratio is a a association or a co-relation between two numbers. It is represented using colon or fractions, as a:b or $\frac{a}{b}$. If two ratios are equivalent then we write it has $\frac{a}{b}$ = $\frac{c}{d}$proportion or balance is a relative relation between things or magnitudes such as size, quantity etc.Example: x : 3 :: 9 : 6Here, the first set of ratios is equal to second set of ratios, thus we say that ratios are in proportion. Proportion Calculator is used to calculate the unknown quantity of a set of ratios.

## Steps for Proportion Calculator

Step 1 :

Observe the given two ratios.

Step 2 :

Do the cross-multiplication and then isolate the unknown variable.

## Problems on Proportion Calculator

1. ### A bag contains balls of color blue and black, if the ratio blue balls to black balls is 4:8 and contains 230 black balls, then find the total number of blue balls in the bag?

Step 1 :

Given that:

Total number of black balls = 230

Let total number of blue balls = x

Given ratio $\Rightarrow$ $\frac{Blue}{Black}$ = $\frac{4}{8}$ = $\frac{x}{230}$

Step 2 :

$\frac{4}{8}$ = $\frac{x}{230}$

After cross-multiplication

4 $\times$ 230 = x $\times$ 8

920 = 8x

Divide by 8 on both sides

x = 115

So, total number of blue balls = 115

2. ### Find the value of x in $\frac{2}{9}$ = $\frac{5}{x}$?

Step 1 :

Given ratios

$\frac{2}{9}$ = $\frac{5}{x}$

Step 2 :

After cross-multiplication

2 $\times$ x = 5 $\times$ 9

2x = 45

Divide by 2 on both sides

x = 22.5