Question

Solve Proportion:$\frac{a}{a+12}=\frac{4}{7}$

Short answer

Value of $a$is 16.

Step-by-step solution

Step 1. Given Information 

A proportion is given:$\frac{a}{a+12}=\frac{4}{7}$

Step 2. Required to find 

Solve the proportion and find value of$a$.

Step 3. Finding the value of a.

Rearrange the proportion to keep only $a$on the left hand side and simplify the remaining fraction on the right hand side.

$7a=4a+48$

$7a-4a=48$

$3a=48$

$a=\frac{48}{3}$

$a=16$