Question

Solve each proportion.

$\frac{7}{2}\mathbf{=}\frac{\mathbf{y}}{3}$

Short answer

The solution of given proportion is $\mathit{y}\mathbf{=}\frac{21}{2}$.

Step-by-step solution

Step 1. Means-Extremes Property of proportion

If$\frac{p}{q}=\frac{r}{s}$ and$q,s\ne 0$ then $ps=qr$.

Step 2. Cross product.

Find the cross products.

$\begin{array}{c}7\left(3\right)=2\left(y\right)\\ 21=2y\end{array}$

Step 3. Divide.

Divide each side of the obtained equation by 2.

$\begin{array}{c}\frac{21}{2}=\frac{2y}{2}\\ y=\frac{21}{2}\end{array}$

Therefore, the solution of given proportion is$y=\frac{21}{2}$.