Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{8}{13}=\frac{v}{21}$

Short answer

The value of $v=12.92$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{8}{13}=\frac{v}{21}\\ 21\left(8\right)=\left(v\right)13\end{array}$

Step-3. Simplify for v.

To further simplify, divide each side by 13.

$\begin{array}{c}21\left(8\right)=\left(v\right)13\\ \text{168}=13v\\ \frac{\text{168}}{13}=\frac{13v}{13}\\ v=12.92\end{array}$

Therefore, the value of $v=12.92$.