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Finding the Fourth Proportional to 11,957.28, 17,928.22 and 5,717.15

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Solution

The fourth proportional to 11,957.28, 17,928.22 and 5,717.15 is: 8,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.28 : 17,928.22 = 5,717.15 : x
  2. Step 2: Convert to fraction form
    11,957.28/17,928.22 = 5,717.15/x
  3. Step 3: Cross multiply
    11,957.28x = 17,928.22 × 5,717.15
  4. Step 4: Simplify right side
    11,957.28x = 102,498,322.97
  5. Step 5: Solve for x
    x = 102,498,322.97/11,957.28
  6. Step 6: Final answer
    x = 8,572.04

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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.