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Finding the Fourth Proportional to 20,638.64, 30,969.28 and 8,951.92

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Solution

The fourth proportional to 20,638.64, 30,969.28 and 8,951.92 is: 13,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.64 : 30,969.28 = 8,951.92 : x
  2. Step 2: Convert to fraction form
    20,638.64/30,969.28 = 8,951.92/x
  3. Step 3: Cross multiply
    20,638.64x = 30,969.28 × 8,951.92
  4. Step 4: Simplify right side
    20,638.64x = 277,234,517.02
  5. Step 5: Solve for x
    x = 277,234,517.02/20,638.64
  6. Step 6: Final answer
    x = 13,432.79

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1.5x scale

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.