Home / 2,197.20-3,296.38-964.86

Finding the Fourth Proportional to 2,197.20, 3,296.38 and 964.86

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Solution

The fourth proportional to 2,197.20, 3,296.38 and 964.86 is: 1,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.20 : 3,296.38 = 964.86 : x
  2. Step 2: Convert to fraction form
    2,197.20/3,296.38 = 964.86/x
  3. Step 3: Cross multiply
    2,197.20x = 3,296.38 × 964.86
  4. Step 4: Simplify right side
    2,197.20x = 3,180,545.21
  5. Step 5: Solve for x
    x = 3,180,545.21/2,197.20
  6. Step 6: Final answer
    x = 1,447.54

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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.