7:8=21:N
You asked:
Solve \(7 : 8=21 : N\) for the variable \(N\).
MathBot Answer:
$$\begin{aligned}N &= 24\end{aligned}$$
Express both ratios as fractions. \[\frac{7}{8} = \frac{21}{N}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{7}{8} &= \frac{21}{N} \\ 7 N &= 168 \\ N &&= 24 \end{aligned}$$