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Finding the Fourth Proportional to 28,192, 42,286.38 and 8,470.12

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Solution

The fourth proportional to 28,192, 42,286.38 and 8,470.12 is: 12,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,192 : 42,286.38 = 8,470.12 : x
  2. Step 2: Convert to fraction form
    28,192/42,286.38 = 8,470.12/x
  3. Step 3: Cross multiply
    28,192x = 42,286.38 × 8,470.12
  4. Step 4: Simplify right side
    28,192x = 358,170,712.97
  5. Step 5: Solve for x
    x = 358,170,712.97/28,192
  6. Step 6: Final answer
    x = 12,704.69

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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.