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Finding the Fourth Proportional to 10,491.64, 15,737.84 and 3,471.83

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Solution

The fourth proportional to 10,491.64, 15,737.84 and 3,471.83 is: 5,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.64 : 15,737.84 = 3,471.83 : x
  2. Step 2: Convert to fraction form
    10,491.64/15,737.84 = 3,471.83/x
  3. Step 3: Cross multiply
    10,491.64x = 15,737.84 × 3,471.83
  4. Step 4: Simplify right side
    10,491.64x = 54,639,105.05
  5. Step 5: Solve for x
    x = 54,639,105.05/10,491.64
  6. Step 6: Final answer
    x = 5,207.87

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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.