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Finding the Fourth Proportional to 31,791, 43,872.54 and 17,645.16

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Solution

The fourth proportional to 31,791, 43,872.54 and 17,645.16 is: 24,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791 : 43,872.54 = 17,645.16 : x
  2. Step 2: Convert to fraction form
    31,791/43,872.54 = 17,645.16/x
  3. Step 3: Cross multiply
    31,791x = 43,872.54 × 17,645.16
  4. Step 4: Simplify right side
    31,791x = 774,137,987.91
  5. Step 5: Solve for x
    x = 774,137,987.91/31,791
  6. Step 6: Final answer
    x = 24,350.85

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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.