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Finding the Fourth Proportional to 20,862, 28,791.97 and 11,910.78

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Solution

The fourth proportional to 20,862, 28,791.97 and 11,910.78 is: 16,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862 : 28,791.97 = 11,910.78 : x
  2. Step 2: Convert to fraction form
    20,862/28,791.97 = 11,910.78/x
  3. Step 3: Cross multiply
    20,862x = 28,791.97 × 11,910.78
  4. Step 4: Simplify right side
    20,862x = 342,934,820.44
  5. Step 5: Solve for x
    x = 342,934,820.44/20,862
  6. Step 6: Final answer
    x = 16,438.25

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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.