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Finding the Fourth Proportional to 26,498, 39,712.92 and 20,234.96

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Solution

The fourth proportional to 26,498, 39,712.92 and 20,234.96 is: 30,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498 : 39,712.92 = 20,234.96 : x
  2. Step 2: Convert to fraction form
    26,498/39,712.92 = 20,234.96/x
  3. Step 3: Cross multiply
    26,498x = 39,712.92 × 20,234.96
  4. Step 4: Simplify right side
    26,498x = 803,589,347.68
  5. Step 5: Solve for x
    x = 803,589,347.68/26,498
  6. Step 6: Final answer
    x = 30,326.42

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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.