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Finding the Fourth Proportional to 2,132.55, 3,198.96 and 671.49

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Solution

The fourth proportional to 2,132.55, 3,198.96 and 671.49 is: 1,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.55 : 3,198.96 = 671.49 : x
  2. Step 2: Convert to fraction form
    2,132.55/3,198.96 = 671.49/x
  3. Step 3: Cross multiply
    2,132.55x = 3,198.96 × 671.49
  4. Step 4: Simplify right side
    2,132.55x = 2,148,069.65
  5. Step 5: Solve for x
    x = 2,148,069.65/2,132.55
  6. Step 6: Final answer
    x = 1,007.28

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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.