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Finding the Fourth Proportional to 1,082.10, 1,612.17 and 1,067.04

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Solution

The fourth proportional to 1,082.10, 1,612.17 and 1,067.04 is: 1,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.10 : 1,612.17 = 1,067.04 : x
  2. Step 2: Convert to fraction form
    1,082.10/1,612.17 = 1,067.04/x
  3. Step 3: Cross multiply
    1,082.10x = 1,612.17 × 1,067.04
  4. Step 4: Simplify right side
    1,082.10x = 1,720,249.88
  5. Step 5: Solve for x
    x = 1,720,249.88/1,082.10
  6. Step 6: Final answer
    x = 1,589.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.