# Solve the proportion. \frac{2}{7} = \frac{x}{42} A.) \frac{1}{2} B.) 12 C.) \frac{2}{7} D.) 6

## Question:

Solve the proportion.

{eq}\displaystyle \frac{2}{7} = \frac{x}{42} {/eq}

A.) {eq}\; \frac{1}{2} {/eq}

B.) {eq}\; 12 {/eq}

C.) {eq}\; \frac{2}{7} {/eq}

D.) {eq}\; 6 {/eq}

## Proportion:

In mathematics, the proportion is defined as the statement, which says that the value of the two ratios is equal to each other. To check the reliability of the proportions generally cross multiplication is used.

The expression for the given proportion is,

{eq}\dfrac{2}{7} = \dfrac{x}{{42}} {/eq}

Solve for the value of x.

{eq}\begin{align*} x &= \dfrac{{42 \times 2}}{7}\\ &= 6 \times 2\\ &= 12 \end{align*} {/eq}

Thus, the value for {eq}x {/eq} is {eq}12 {/eq}.