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Finding the Fourth Proportional to 39,841.31, 54,978.97 and 21,932.86

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Solution

The fourth proportional to 39,841.31, 54,978.97 and 21,932.86 is: 30,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,841.31 : 54,978.97 = 21,932.86 : x
  2. Step 2: Convert to fraction form
    39,841.31/54,978.97 = 21,932.86/x
  3. Step 3: Cross multiply
    39,841.31x = 54,978.97 × 21,932.86
  4. Step 4: Simplify right side
    39,841.31x = 1,205,846,051.95
  5. Step 5: Solve for x
    x = 1,205,846,051.95/39,841.31
  6. Step 6: Final answer
    x = 30,266.22

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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.