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Finding the Fourth Proportional to 31,702.97, 43,747.02 and 18,953.61

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Solution

The fourth proportional to 31,702.97, 43,747.02 and 18,953.61 is: 26,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.97 : 43,747.02 = 18,953.61 : x
  2. Step 2: Convert to fraction form
    31,702.97/43,747.02 = 18,953.61/x
  3. Step 3: Cross multiply
    31,702.97x = 43,747.02 × 18,953.61
  4. Step 4: Simplify right side
    31,702.97x = 829,163,955.74
  5. Step 5: Solve for x
    x = 829,163,955.74/31,702.97
  6. Step 6: Final answer
    x = 26,154.15

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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.