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Finding the Fourth Proportional to 8,562.87, 12,842.69 and 2,719.53

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Solution

The fourth proportional to 8,562.87, 12,842.69 and 2,719.53 is: 4,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.87 : 12,842.69 = 2,719.53 : x
  2. Step 2: Convert to fraction form
    8,562.87/12,842.69 = 2,719.53/x
  3. Step 3: Cross multiply
    8,562.87x = 12,842.69 × 2,719.53
  4. Step 4: Simplify right side
    8,562.87x = 34,926,067.14
  5. Step 5: Solve for x
    x = 34,926,067.14/8,562.87
  6. Step 6: Final answer
    x = 4,078.78

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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.