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Finding the Fourth Proportional to 2,463.69, 3,694.01 and 819.81

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Solution

The fourth proportional to 2,463.69, 3,694.01 and 819.81 is: 1,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.69 : 3,694.01 = 819.81 : x
  2. Step 2: Convert to fraction form
    2,463.69/3,694.01 = 819.81/x
  3. Step 3: Cross multiply
    2,463.69x = 3,694.01 × 819.81
  4. Step 4: Simplify right side
    2,463.69x = 3,028,382.24
  5. Step 5: Solve for x
    x = 3,028,382.24/2,463.69
  6. Step 6: Final answer
    x = 1,229.21

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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.