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Finding the Fourth Proportional to 8,507.50, 11,737.24 and 5,149.09

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Solution

The fourth proportional to 8,507.50, 11,737.24 and 5,149.09 is: 7,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.50 : 11,737.24 = 5,149.09 : x
  2. Step 2: Convert to fraction form
    8,507.50/11,737.24 = 5,149.09/x
  3. Step 3: Cross multiply
    8,507.50x = 11,737.24 × 5,149.09
  4. Step 4: Simplify right side
    8,507.50x = 60,436,105.11
  5. Step 5: Solve for x
    x = 60,436,105.11/8,507.50
  6. Step 6: Final answer
    x = 7,103.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.