Question

If \(\dfrac{4}{7} k=36\), then \(\dfrac{3}{7} k=\)

Answer 1

\(27\)

 

Explanation:

Using simple proportion we can determine the value of \(\dfrac{3k}{7}\) given \(\dfrac{4k}{7}\)

 

If \(\dfrac{4k}{7} =36\) then \(\dfrac{3k}{7} =x\) :

 

\[\dfrac{x}{36}=\dfrac{\left(\frac{3k}{7}\right )}{\left(\frac{4k}{7}\right)} \]

\[\dfrac{x}{36}=\left(\frac{3k}{7}\right ) \times {\left(\frac{7}{4k}\right)} \]

\[\dfrac{x}{36}=\dfrac{3}{4}\]

\[x=\dfrac{3\times 36}{4}=3\times 9=27\]