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Finding the Fourth Proportional to 2,195.91, 3,294.17 and 963.90

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Solution

The fourth proportional to 2,195.91, 3,294.17 and 963.90 is: 1,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.91 : 3,294.17 = 963.90 : x
  2. Step 2: Convert to fraction form
    2,195.91/3,294.17 = 963.90/x
  3. Step 3: Cross multiply
    2,195.91x = 3,294.17 × 963.90
  4. Step 4: Simplify right side
    2,195.91x = 3,175,249.26
  5. Step 5: Solve for x
    x = 3,175,249.26/2,195.91
  6. Step 6: Final answer
    x = 1,445.98

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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.