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Finding the Fourth Proportional to 2,463.66, 3,694.11 and 819.76

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Solution

The fourth proportional to 2,463.66, 3,694.11 and 819.76 is: 1,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.66 : 3,694.11 = 819.76 : x
  2. Step 2: Convert to fraction form
    2,463.66/3,694.11 = 819.76/x
  3. Step 3: Cross multiply
    2,463.66x = 3,694.11 × 819.76
  4. Step 4: Simplify right side
    2,463.66x = 3,028,283.61
  5. Step 5: Solve for x
    x = 3,028,283.61/2,463.66
  6. Step 6: Final answer
    x = 1,229.18

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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.