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Finding the Fourth Proportional to 8,361, 12,542.31 and 2,815.74

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Solution

The fourth proportional to 8,361, 12,542.31 and 2,815.74 is: 4,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361 : 12,542.31 = 2,815.74 : x
  2. Step 2: Convert to fraction form
    8,361/12,542.31 = 2,815.74/x
  3. Step 3: Cross multiply
    8,361x = 12,542.31 × 2,815.74
  4. Step 4: Simplify right side
    8,361x = 35,315,883.96
  5. Step 5: Solve for x
    x = 35,315,883.96/8,361
  6. Step 6: Final answer
    x = 4,223.88

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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.