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Finding the Fourth Proportional to 31,474, 43,434.12 and 17,326.78

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Solution

The fourth proportional to 31,474, 43,434.12 and 17,326.78 is: 23,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474 : 43,434.12 = 17,326.78 : x
  2. Step 2: Convert to fraction form
    31,474/43,434.12 = 17,326.78/x
  3. Step 3: Cross multiply
    31,474x = 43,434.12 × 17,326.78
  4. Step 4: Simplify right side
    31,474x = 752,573,441.73
  5. Step 5: Solve for x
    x = 752,573,441.73/31,474
  6. Step 6: Final answer
    x = 23,910.96

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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.