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Finding the Fourth Proportional to 10,839.85, 16,251.92 and 7,321.06

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Solution

The fourth proportional to 10,839.85, 16,251.92 and 7,321.06 is: 10,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.85 : 16,251.92 = 7,321.06 : x
  2. Step 2: Convert to fraction form
    10,839.85/16,251.92 = 7,321.06/x
  3. Step 3: Cross multiply
    10,839.85x = 16,251.92 × 7,321.06
  4. Step 4: Simplify right side
    10,839.85x = 118,981,226.30
  5. Step 5: Solve for x
    x = 118,981,226.30/10,839.85
  6. Step 6: Final answer
    x = 10,976.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.