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Finding the Fourth Proportional to 27,928.80, 41,893.20 and 20,565.90

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Solution

The fourth proportional to 27,928.80, 41,893.20 and 20,565.90 is: 30,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928.80 : 41,893.20 = 20,565.90 : x
  2. Step 2: Convert to fraction form
    27,928.80/41,893.20 = 20,565.90/x
  3. Step 3: Cross multiply
    27,928.80x = 41,893.20 × 20,565.90
  4. Step 4: Simplify right side
    27,928.80x = 861,571,361.88
  5. Step 5: Solve for x
    x = 861,571,361.88/27,928.80
  6. Step 6: Final answer
    x = 30,848.85

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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.