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Finding the Fourth Proportional to 38,599.53, 57,892.41 and 20,821.92

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Solution

The fourth proportional to 38,599.53, 57,892.41 and 20,821.92 is: 31,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599.53 : 57,892.41 = 20,821.92 : x
  2. Step 2: Convert to fraction form
    38,599.53/57,892.41 = 20,821.92/x
  3. Step 3: Cross multiply
    38,599.53x = 57,892.41 × 20,821.92
  4. Step 4: Simplify right side
    38,599.53x = 1,205,431,129.63
  5. Step 5: Solve for x
    x = 1,205,431,129.63/38,599.53
  6. Step 6: Final answer
    x = 31,229.17

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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.