1. **Stating the problem:** We want to determine if the ratio 2 to 4 is equivalent to the ratio 4 to 8. 2. **Formula used:** Two ratios $\frac{a}{b}$ and $\frac{c}{d}$ are equivalent if $\frac{a}{b} = \frac{c}{d}$. 3. **Calculate each ratio:** - First ratio: $\frac{2}{4} = 0.5$ - Second ratio: $\frac{4}{8} = 0.5$ 4. **Compare the ratios:** Since both ratios equal $0.5$, they are equivalent. 5. **Conclusion:** The ratios 2 to 4 and 4 to 8 are equivalent because they simplify to the same value.