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Finding the Fourth Proportional to 3,581.76, 5,371.92 and 2,892.42

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Solution

The fourth proportional to 3,581.76, 5,371.92 and 2,892.42 is: 4,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.76 : 5,371.92 = 2,892.42 : x
  2. Step 2: Convert to fraction form
    3,581.76/5,371.92 = 2,892.42/x
  3. Step 3: Cross multiply
    3,581.76x = 5,371.92 × 2,892.42
  4. Step 4: Simplify right side
    3,581.76x = 15,537,848.85
  5. Step 5: Solve for x
    x = 15,537,848.85/3,581.76
  6. Step 6: Final answer
    x = 4,338.05

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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.