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Finding the Fourth Proportional to 10,491.32, 15,737.13 and 4,167.77

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Solution

The fourth proportional to 10,491.32, 15,737.13 and 4,167.77 is: 6,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.32 : 15,737.13 = 4,167.77 : x
  2. Step 2: Convert to fraction form
    10,491.32/15,737.13 = 4,167.77/x
  3. Step 3: Cross multiply
    10,491.32x = 15,737.13 × 4,167.77
  4. Step 4: Simplify right side
    10,491.32x = 65,588,738.30
  5. Step 5: Solve for x
    x = 65,588,738.30/10,491.32
  6. Step 6: Final answer
    x = 6,251.71

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1.5x scale

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.