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Finding the Fourth Proportional to 6,737.97, 9,298.42 and 3,905.90

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Solution

The fourth proportional to 6,737.97, 9,298.42 and 3,905.90 is: 5,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.97 : 9,298.42 = 3,905.90 : x
  2. Step 2: Convert to fraction form
    6,737.97/9,298.42 = 3,905.90/x
  3. Step 3: Cross multiply
    6,737.97x = 9,298.42 × 3,905.90
  4. Step 4: Simplify right side
    6,737.97x = 36,318,698.68
  5. Step 5: Solve for x
    x = 36,318,698.68/6,737.97
  6. Step 6: Final answer
    x = 5,390.15

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Why These Related Problems?

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