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Finding the Fourth Proportional to 31,772.61, 43,851.92 and 18,342

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Solution

The fourth proportional to 31,772.61, 43,851.92 and 18,342 is: 25,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.61 : 43,851.92 = 18,342 : x
  2. Step 2: Convert to fraction form
    31,772.61/43,851.92 = 18,342/x
  3. Step 3: Cross multiply
    31,772.61x = 43,851.92 × 18,342
  4. Step 4: Simplify right side
    31,772.61x = 804,331,824.93
  5. Step 5: Solve for x
    x = 804,331,824.93/31,772.61
  6. Step 6: Final answer
    x = 25,315.26

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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.