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Finding the Fourth Proportional to 3,167.74, 4,372.17 and 1,842.21

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Solution

The fourth proportional to 3,167.74, 4,372.17 and 1,842.21 is: 2,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.74 : 4,372.17 = 1,842.21 : x
  2. Step 2: Convert to fraction form
    3,167.74/4,372.17 = 1,842.21/x
  3. Step 3: Cross multiply
    3,167.74x = 4,372.17 × 1,842.21
  4. Step 4: Simplify right side
    3,167.74x = 8,054,433.43
  5. Step 5: Solve for x
    x = 8,054,433.43/3,167.74
  6. Step 6: Final answer
    x = 2,542.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.