Question

what is the value of x when $\frac{6}{7}:x::\frac{2}{3}:4?$

• A. $\frac{46}{7}$
• B. $\frac{36}{7}$
• C. $\frac{87}{7}$
• D. 36

Answer 1

The correct option is B

$\frac{36}{7}$

Symbol " : : " indicates proportion .

In a proportion,

product of means = product of extremes

$x\times \frac{2}{3}=\frac{6}{7}\times 4$

$\frac{2\times x}{3}=\frac{24}{7}$

$2\times x=\frac{24\times 3}{7}$

$2\times x=\frac{72}{7}$

$x=\frac{72}{7\times 2}$

$x=\frac{72}{14}$

$x=\frac{36}{7}$