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Finding the Fourth Proportional to 8,562.62, 12,842.31 and 2,719.28

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Solution

The fourth proportional to 8,562.62, 12,842.31 and 2,719.28 is: 4,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.62 : 12,842.31 = 2,719.28 : x
  2. Step 2: Convert to fraction form
    8,562.62/12,842.31 = 2,719.28/x
  3. Step 3: Cross multiply
    8,562.62x = 12,842.31 × 2,719.28
  4. Step 4: Simplify right side
    8,562.62x = 34,921,836.74
  5. Step 5: Solve for x
    x = 34,921,836.74/8,562.62
  6. Step 6: Final answer
    x = 4,078.41

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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.