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Finding the Fourth Proportional to 1,916.05, 2,874.10 and 819.73

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Solution

The fourth proportional to 1,916.05, 2,874.10 and 819.73 is: 1,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.05 : 2,874.10 = 819.73 : x
  2. Step 2: Convert to fraction form
    1,916.05/2,874.10 = 819.73/x
  3. Step 3: Cross multiply
    1,916.05x = 2,874.10 × 819.73
  4. Step 4: Simplify right side
    1,916.05x = 2,355,985.99
  5. Step 5: Solve for x
    x = 2,355,985.99/1,916.05
  6. Step 6: Final answer
    x = 1,229.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.