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Finding the Fourth Proportional to 31,889, 44,006.82 and 18,641

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Solution

The fourth proportional to 31,889, 44,006.82 and 18,641 is: 25,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889 : 44,006.82 = 18,641 : x
  2. Step 2: Convert to fraction form
    31,889/44,006.82 = 18,641/x
  3. Step 3: Cross multiply
    31,889x = 44,006.82 × 18,641
  4. Step 4: Simplify right side
    31,889x = 820,331,131.62
  5. Step 5: Solve for x
    x = 820,331,131.62/31,889
  6. Step 6: Final answer
    x = 25,724.58

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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.