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Finding the Fourth Proportional to 10,489.83, 15,737.19 and 3,469.56

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Solution

The fourth proportional to 10,489.83, 15,737.19 and 3,469.56 is: 5,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.83 : 15,737.19 = 3,469.56 : x
  2. Step 2: Convert to fraction form
    10,489.83/15,737.19 = 3,469.56/x
  3. Step 3: Cross multiply
    10,489.83x = 15,737.19 × 3,469.56
  4. Step 4: Simplify right side
    10,489.83x = 54,601,124.94
  5. Step 5: Solve for x
    x = 54,601,124.94/10,489.83
  6. Step 6: Final answer
    x = 5,205.15

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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.