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Finding the Fourth Proportional to 28,375.20, 42,562.80 and 9,902.88

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Solution

The fourth proportional to 28,375.20, 42,562.80 and 9,902.88 is: 14,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,375.20 : 42,562.80 = 9,902.88 : x
  2. Step 2: Convert to fraction form
    28,375.20/42,562.80 = 9,902.88/x
  3. Step 3: Cross multiply
    28,375.20x = 42,562.80 × 9,902.88
  4. Step 4: Simplify right side
    28,375.20x = 421,494,300.86
  5. Step 5: Solve for x
    x = 421,494,300.86/28,375.20
  6. Step 6: Final answer
    x = 14,854.32

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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.