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Finding the Fourth Proportional to 10,237.62, 15,327.92 and 5,229.15

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Solution

The fourth proportional to 10,237.62, 15,327.92 and 5,229.15 is: 7,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.62 : 15,327.92 = 5,229.15 : x
  2. Step 2: Convert to fraction form
    10,237.62/15,327.92 = 5,229.15/x
  3. Step 3: Cross multiply
    10,237.62x = 15,327.92 × 5,229.15
  4. Step 4: Simplify right side
    10,237.62x = 80,151,992.87
  5. Step 5: Solve for x
    x = 80,151,992.87/10,237.62
  6. Step 6: Final answer
    x = 7,829.16

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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.