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Finding the Fourth Proportional to 2,197.80, 3,296.18 and 811.80

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Solution

The fourth proportional to 2,197.80, 3,296.18 and 811.80 is: 1,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.80 : 3,296.18 = 811.80 : x
  2. Step 2: Convert to fraction form
    2,197.80/3,296.18 = 811.80/x
  3. Step 3: Cross multiply
    2,197.80x = 3,296.18 × 811.80
  4. Step 4: Simplify right side
    2,197.80x = 2,675,838.92
  5. Step 5: Solve for x
    x = 2,675,838.92/2,197.80
  6. Step 6: Final answer
    x = 1,217.51

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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.