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Finding the Fourth Proportional to 26,406, 39,535.29 and 21,781.71

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Solution

The fourth proportional to 26,406, 39,535.29 and 21,781.71 is: 32,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406 : 39,535.29 = 21,781.71 : x
  2. Step 2: Convert to fraction form
    26,406/39,535.29 = 21,781.71/x
  3. Step 3: Cross multiply
    26,406x = 39,535.29 × 21,781.71
  4. Step 4: Simplify right side
    26,406x = 861,146,221.55
  5. Step 5: Solve for x
    x = 861,146,221.55/26,406
  6. Step 6: Final answer
    x = 32,611.76

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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.