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Finding the Fourth Proportional to 28,096.70, 42,139.65 and 8,375.90

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Solution

The fourth proportional to 28,096.70, 42,139.65 and 8,375.90 is: 12,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096.70 : 42,139.65 = 8,375.90 : x
  2. Step 2: Convert to fraction form
    28,096.70/42,139.65 = 8,375.90/x
  3. Step 3: Cross multiply
    28,096.70x = 42,139.65 × 8,375.90
  4. Step 4: Simplify right side
    28,096.70x = 352,957,494.44
  5. Step 5: Solve for x
    x = 352,957,494.44/28,096.70
  6. Step 6: Final answer
    x = 12,562.24

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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.