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Finding the Fourth Proportional to 2,197.32, 3,294.10 and 963.78

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Solution

The fourth proportional to 2,197.32, 3,294.10 and 963.78 is: 1,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.32 : 3,294.10 = 963.78 : x
  2. Step 2: Convert to fraction form
    2,197.32/3,294.10 = 963.78/x
  3. Step 3: Cross multiply
    2,197.32x = 3,294.10 × 963.78
  4. Step 4: Simplify right side
    2,197.32x = 3,174,787.70
  5. Step 5: Solve for x
    x = 3,174,787.70/2,197.32
  6. Step 6: Final answer
    x = 1,444.85

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1.5x scale

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.