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Finding the Fourth Proportional to 26,539, 39,742.87 and 15,411.96

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Solution

The fourth proportional to 26,539, 39,742.87 and 15,411.96 is: 23,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,539 : 39,742.87 = 15,411.96 : x
  2. Step 2: Convert to fraction form
    26,539/39,742.87 = 15,411.96/x
  3. Step 3: Cross multiply
    26,539x = 39,742.87 × 15,411.96
  4. Step 4: Simplify right side
    26,539x = 612,515,522.73
  5. Step 5: Solve for x
    x = 612,515,522.73/26,539
  6. Step 6: Final answer
    x = 23,079.83

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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.