Question

solve for v in the proportion.\\(\frac{21}{v} = \frac{7}{4}\\)\\(v = \square\\)submit

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion $\frac{21}{v}=\frac{7}{4}$, we use the cross - multiplication property of proportions. If $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$. So, $21\times4 = 7\times v$.

Step2: Simplify both sides

Calculate $21\times4$ which is equal to $84$, and $7\times v$ is $7v$. So we have the equation $84 = 7v$.

Step3: Solve for v

To isolate $v$, we divide both sides of the equation $84 = 7v$ by $7$. $\frac{84}{7}=\frac{7v}{7}$. Since $\frac{84}{7}=12$ and $\frac{7v}{7}=v$, we get $v = 12$.

Answer:

12