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Finding the Fourth Proportional to 2,152.88, 3,229.63 and 691.55

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Solution

The fourth proportional to 2,152.88, 3,229.63 and 691.55 is: 1,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.88 : 3,229.63 = 691.55 : x
  2. Step 2: Convert to fraction form
    2,152.88/3,229.63 = 691.55/x
  3. Step 3: Cross multiply
    2,152.88x = 3,229.63 × 691.55
  4. Step 4: Simplify right side
    2,152.88x = 2,233,432.75
  5. Step 5: Solve for x
    x = 2,233,432.75/2,152.88
  6. Step 6: Final answer
    x = 1,037.42

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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.