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Finding the Fourth Proportional to 10,491.28, 14,462.76 and 7,337.68

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Solution

The fourth proportional to 10,491.28, 14,462.76 and 7,337.68 is: 10,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.28 : 14,462.76 = 7,337.68 : x
  2. Step 2: Convert to fraction form
    10,491.28/14,462.76 = 7,337.68/x
  3. Step 3: Cross multiply
    10,491.28x = 14,462.76 × 7,337.68
  4. Step 4: Simplify right side
    10,491.28x = 106,123,104.80
  5. Step 5: Solve for x
    x = 106,123,104.80/10,491.28
  6. Step 6: Final answer
    x = 10,115.36

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