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Finding the Fourth Proportional to 2,132.52, 3,198.70 and 671.64

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Solution

The fourth proportional to 2,132.52, 3,198.70 and 671.64 is: 1,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.52 : 3,198.70 = 671.64 : x
  2. Step 2: Convert to fraction form
    2,132.52/3,198.70 = 671.64/x
  3. Step 3: Cross multiply
    2,132.52x = 3,198.70 × 671.64
  4. Step 4: Simplify right side
    2,132.52x = 2,148,374.87
  5. Step 5: Solve for x
    x = 2,148,374.87/2,132.52
  6. Step 6: Final answer
    x = 1,007.43

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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.