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Finding the Fourth Proportional to 31,691.64, 47,503.28 and 20,606.28

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Solution

The fourth proportional to 31,691.64, 47,503.28 and 20,606.28 is: 30,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.64 : 47,503.28 = 20,606.28 : x
  2. Step 2: Convert to fraction form
    31,691.64/47,503.28 = 20,606.28/x
  3. Step 3: Cross multiply
    31,691.64x = 47,503.28 × 20,606.28
  4. Step 4: Simplify right side
    31,691.64x = 978,865,785.57
  5. Step 5: Solve for x
    x = 978,865,785.57/31,691.64
  6. Step 6: Final answer
    x = 30,887.19

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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.