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Finding the Fourth Proportional to 31,843.73, 47,766.04 and 12,123.36

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Solution

The fourth proportional to 31,843.73, 47,766.04 and 12,123.36 is: 18,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.73 : 47,766.04 = 12,123.36 : x
  2. Step 2: Convert to fraction form
    31,843.73/47,766.04 = 12,123.36/x
  3. Step 3: Cross multiply
    31,843.73x = 47,766.04 × 12,123.36
  4. Step 4: Simplify right side
    31,843.73x = 579,084,868.39
  5. Step 5: Solve for x
    x = 579,084,868.39/31,843.73
  6. Step 6: Final answer
    x = 18,185.21

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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.