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Finding the Fourth Proportional to 8,640.90, 12,965.01 and 5,137.62

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Solution

The fourth proportional to 8,640.90, 12,965.01 and 5,137.62 is: 7,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.90 : 12,965.01 = 5,137.62 : x
  2. Step 2: Convert to fraction form
    8,640.90/12,965.01 = 5,137.62/x
  3. Step 3: Cross multiply
    8,640.90x = 12,965.01 × 5,137.62
  4. Step 4: Simplify right side
    8,640.90x = 66,609,294.68
  5. Step 5: Solve for x
    x = 66,609,294.68/8,640.90
  6. Step 6: Final answer
    x = 7,708.61

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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.