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Finding the Fourth Proportional to 7,312.92, 10,972.32 and 3,414.90

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Solution

The fourth proportional to 7,312.92, 10,972.32 and 3,414.90 is: 5,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.92 : 10,972.32 = 3,414.90 : x
  2. Step 2: Convert to fraction form
    7,312.92/10,972.32 = 3,414.90/x
  3. Step 3: Cross multiply
    7,312.92x = 10,972.32 × 3,414.90
  4. Step 4: Simplify right side
    7,312.92x = 37,469,375.57
  5. Step 5: Solve for x
    x = 37,469,375.57/7,312.92
  6. Step 6: Final answer
    x = 5,123.72

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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.