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Finding the Fourth Proportional to 11,659.20, 17,491.32 and 5,414.64

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Solution

The fourth proportional to 11,659.20, 17,491.32 and 5,414.64 is: 8,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.20 : 17,491.32 = 5,414.64 : x
  2. Step 2: Convert to fraction form
    11,659.20/17,491.32 = 5,414.64/x
  3. Step 3: Cross multiply
    11,659.20x = 17,491.32 × 5,414.64
  4. Step 4: Simplify right side
    11,659.20x = 94,709,200.92
  5. Step 5: Solve for x
    x = 94,709,200.92/11,659.20
  6. Step 6: Final answer
    x = 8,123.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.