Chapter SR6, Problem 17P

Solution

To solve the proportion $\frac{a}{6}=\frac{4}{12}$ .

  $a=2$

Given:

The proportion, $\frac{a}{6}=\frac{4}{12}$ .

Concept Used:

• The opposite operation of addition is subtraction and the opposite operation of subtraction is addition.
• The opposite operation of multiplication is division and the opposite operation of division is multiplication.

Calculation:

In order to solve the proportion $\frac{a}{6}=\frac{4}{12}$ , isolate the variable on one side by performing basic algebraic operations and simplify further as shown below

  $\begin{array}{c}\frac{a}{6}=\frac{4}{12}\\ a\cdot 12=4\cdot 6\\ \frac{a\cdot 12}{12}=\frac{4\cdot 6}{12}\\ a=\frac{24}{12}\\ a=2\end{array}$

Thus, the solution of the proportion is $a=2$ .