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Finding the Fourth Proportional to 11,909.28, 17,863.92 and 7,321.44

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Solution

The fourth proportional to 11,909.28, 17,863.92 and 7,321.44 is: 10,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.28 : 17,863.92 = 7,321.44 : x
  2. Step 2: Convert to fraction form
    11,909.28/17,863.92 = 7,321.44/x
  3. Step 3: Cross multiply
    11,909.28x = 17,863.92 × 7,321.44
  4. Step 4: Simplify right side
    11,909.28x = 130,789,618.44
  5. Step 5: Solve for x
    x = 130,789,618.44/11,909.28
  6. Step 6: Final answer
    x = 10,982.16

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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.