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Finding the Fourth Proportional to 29,388, 44,082.24 and 10,920

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Solution

The fourth proportional to 29,388, 44,082.24 and 10,920 is: 16,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,388 : 44,082.24 = 10,920 : x
  2. Step 2: Convert to fraction form
    29,388/44,082.24 = 10,920/x
  3. Step 3: Cross multiply
    29,388x = 44,082.24 × 10,920
  4. Step 4: Simplify right side
    29,388x = 481,378,060.80
  5. Step 5: Solve for x
    x = 481,378,060.80/29,388
  6. Step 6: Final answer
    x = 16,380.09

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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.