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Finding the Fourth Proportional to 20,659.32, 30,976.02 and 13,631.88

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Solution

The fourth proportional to 20,659.32, 30,976.02 and 13,631.88 is: 20,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.32 : 30,976.02 = 13,631.88 : x
  2. Step 2: Convert to fraction form
    20,659.32/30,976.02 = 13,631.88/x
  3. Step 3: Cross multiply
    20,659.32x = 30,976.02 × 13,631.88
  4. Step 4: Simplify right side
    20,659.32x = 422,261,387.52
  5. Step 5: Solve for x
    x = 422,261,387.52/20,659.32
  6. Step 6: Final answer
    x = 20,439.27

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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.