1. **State the problem:** We are given the proportion $ \frac{5000}{1500} = \frac{V_p}{800} $ and need to find the value of $ V_p $. 2. **Formula used:** To solve for $ V_p $, we use the property of proportions: $ \frac{a}{b} = \frac{c}{d} $ implies $ a \times d = b \times c $. 3. **Apply the formula:** Multiply both sides crosswise: $$ 5000 \times 800 = 1500 \times V_p $$ 4. **Calculate the left side:** $$ 5000 \times 800 = 4,000,000 $$ 5. **Set up the equation:** $$ 4,000,000 = 1500 \times V_p $$ 6. **Solve for $ V_p $:** Divide both sides by 1500: $$ V_p = \frac{4,000,000}{1500} $$ 7. **Show cancellation:** $$ V_p = \frac{\cancel{4,000,000}}{\cancel{1500}} $$ 8. **Simplify the fraction:** $$ V_p = 2666.66... $$ 9. **Final answer:** $$ V_p \approx 2666.67 $$ This means $ V_p $ is approximately 2666.67.