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Finding the Fourth Proportional to 31,342, 43,250.52 and 18,773.68

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Solution

The fourth proportional to 31,342, 43,250.52 and 18,773.68 is: 25,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342 : 43,250.52 = 18,773.68 : x
  2. Step 2: Convert to fraction form
    31,342/43,250.52 = 18,773.68/x
  3. Step 3: Cross multiply
    31,342x = 43,250.52 × 18,773.68
  4. Step 4: Simplify right side
    31,342x = 811,971,422.31
  5. Step 5: Solve for x
    x = 811,971,422.31/31,342
  6. Step 6: Final answer
    x = 25,906.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.