Home / 2,198.91-3,298.50-966.90

Finding the Fourth Proportional to 2,198.91, 3,298.50 and 966.90

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Solution

The fourth proportional to 2,198.91, 3,298.50 and 966.90 is: 1,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.91 : 3,298.50 = 966.90 : x
  2. Step 2: Convert to fraction form
    2,198.91/3,298.50 = 966.90/x
  3. Step 3: Cross multiply
    2,198.91x = 3,298.50 × 966.90
  4. Step 4: Simplify right side
    2,198.91x = 3,189,319.65
  5. Step 5: Solve for x
    x = 3,189,319.65/2,198.91
  6. Step 6: Final answer
    x = 1,450.41

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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.