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Finding the Fourth Proportional to 11,560.64, 17,340.96 and 7,448

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Solution

The fourth proportional to 11,560.64, 17,340.96 and 7,448 is: 11,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.64 : 17,340.96 = 7,448 : x
  2. Step 2: Convert to fraction form
    11,560.64/17,340.96 = 7,448/x
  3. Step 3: Cross multiply
    11,560.64x = 17,340.96 × 7,448
  4. Step 4: Simplify right side
    11,560.64x = 129,155,470.08
  5. Step 5: Solve for x
    x = 129,155,470.08/11,560.64
  6. Step 6: Final answer
    x = 11,172

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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.