Home / 2,132.56-3,198.30-961.90

Finding the Fourth Proportional to 2,132.56, 3,198.30 and 961.90

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Solution

The fourth proportional to 2,132.56, 3,198.30 and 961.90 is: 1,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.56 : 3,198.30 = 961.90 : x
  2. Step 2: Convert to fraction form
    2,132.56/3,198.30 = 961.90/x
  3. Step 3: Cross multiply
    2,132.56x = 3,198.30 × 961.90
  4. Step 4: Simplify right side
    2,132.56x = 3,076,444.77
  5. Step 5: Solve for x
    x = 3,076,444.77/2,132.56
  6. Step 6: Final answer
    x = 1,442.61

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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.