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Finding the Fourth Proportional to 8,595.46, 12,891.12 and 5,470.78

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Solution

The fourth proportional to 8,595.46, 12,891.12 and 5,470.78 is: 8,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.46 : 12,891.12 = 5,470.78 : x
  2. Step 2: Convert to fraction form
    8,595.46/12,891.12 = 5,470.78/x
  3. Step 3: Cross multiply
    8,595.46x = 12,891.12 × 5,470.78
  4. Step 4: Simplify right side
    8,595.46x = 70,524,481.47
  5. Step 5: Solve for x
    x = 70,524,481.47/8,595.46
  6. Step 6: Final answer
    x = 8,204.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.