Question

If $3A=4B=6C,$find $A:B:C.$

Answer 1

Calculation of the ratio $A:B:C:$

From the given relation, we have,

$$\begin{gathered} 3A=4B \\ \Rightarrow \frac{A}{B}=\frac{4}{3}\dots \left(1\right) \end{gathered}$$

Again,

$$\begin{gathered} 4B=6C \\ \Rightarrow \frac{B}{C}=\frac{6}{4} \\ \therefore \frac{B}{C}=\frac{3}{2}\dots \left(2\right) \end{gathered}$$

Since the corresponding values of B in (1) and (2) are equal, so $A:B:C=4:3:2$.

Final Answer: The ratio is $A:B:C=4:3:2$.