Home / 2,197.88-3,296.90-964.66

Finding the Fourth Proportional to 2,197.88, 3,296.90 and 964.66

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Solution

The fourth proportional to 2,197.88, 3,296.90 and 964.66 is: 1,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.88 : 3,296.90 = 964.66 : x
  2. Step 2: Convert to fraction form
    2,197.88/3,296.90 = 964.66/x
  3. Step 3: Cross multiply
    2,197.88x = 3,296.90 × 964.66
  4. Step 4: Simplify right side
    2,197.88x = 3,180,387.55
  5. Step 5: Solve for x
    x = 3,180,387.55/2,197.88
  6. Step 6: Final answer
    x = 1,447.03

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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.