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Finding the Fourth Proportional to 2,132.74, 3,198.57 and 671.77

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Solution

The fourth proportional to 2,132.74, 3,198.57 and 671.77 is: 1,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.74 : 3,198.57 = 671.77 : x
  2. Step 2: Convert to fraction form
    2,132.74/3,198.57 = 671.77/x
  3. Step 3: Cross multiply
    2,132.74x = 3,198.57 × 671.77
  4. Step 4: Simplify right side
    2,132.74x = 2,148,703.37
  5. Step 5: Solve for x
    x = 2,148,703.37/2,132.74
  6. Step 6: Final answer
    x = 1,007.48

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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.