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Finding the Fourth Proportional to 10,251.20, 15,379.20 and 5,321.60

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Solution

The fourth proportional to 10,251.20, 15,379.20 and 5,321.60 is: 7,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.20 : 15,379.20 = 5,321.60 : x
  2. Step 2: Convert to fraction form
    10,251.20/15,379.20 = 5,321.60/x
  3. Step 3: Cross multiply
    10,251.20x = 15,379.20 × 5,321.60
  4. Step 4: Simplify right side
    10,251.20x = 81,841,950.72
  5. Step 5: Solve for x
    x = 81,841,950.72/10,251.20
  6. Step 6: Final answer
    x = 7,983.65

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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.