To find the value of x we need to write the equation in another form that tells us what to do; both sides of the equations are ratios then we have:
[tex]\begin{gathered} \frac{1}{2}:4=\frac{\frac{1}{2}}{4} \\ \text{ and} \\ \frac{1}{3}:x=\frac{\frac{1}{3}}{x} \end{gathered}[/tex]
Then the equation is:
[tex]\frac{\frac{1}{2}}{4}=\frac{\frac{1}{3}}{x}[/tex]
Solving for x we have:
[tex]\begin{gathered} \frac{\frac{1}{2}}{4}=\frac{\frac{1}{3}}{x} \\ \frac{1}{8}=\frac{1}{3x} \\ 3x=8 \\ x=\frac{8}{3} \end{gathered}[/tex]
Therefore, the value of x is 8/3
