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Finding the Fourth Proportional to 20,841.28, 28,761 and 11,409.82

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Solution

The fourth proportional to 20,841.28, 28,761 and 11,409.82 is: 15,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.28 : 28,761 = 11,409.82 : x
  2. Step 2: Convert to fraction form
    20,841.28/28,761 = 11,409.82/x
  3. Step 3: Cross multiply
    20,841.28x = 28,761 × 11,409.82
  4. Step 4: Simplify right side
    20,841.28x = 328,157,833.02
  5. Step 5: Solve for x
    x = 328,157,833.02/20,841.28
  6. Step 6: Final answer
    x = 15,745.57

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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.