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Finding the Fourth Proportional to 6,137.61, 9,220.28 and 3,640.43

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Solution

The fourth proportional to 6,137.61, 9,220.28 and 3,640.43 is: 5,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.61 : 9,220.28 = 3,640.43 : x
  2. Step 2: Convert to fraction form
    6,137.61/9,220.28 = 3,640.43/x
  3. Step 3: Cross multiply
    6,137.61x = 9,220.28 × 3,640.43
  4. Step 4: Simplify right side
    6,137.61x = 33,565,788.77
  5. Step 5: Solve for x
    x = 33,565,788.77/6,137.61
  6. Step 6: Final answer
    x = 5,468.87

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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.