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Finding the Fourth Proportional to 1,221.92, 1,822 and 1,206.80

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Solution

The fourth proportional to 1,221.92, 1,822 and 1,206.80 is: 1,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.92 : 1,822 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    1,221.92/1,822 = 1,206.80/x
  3. Step 3: Cross multiply
    1,221.92x = 1,822 × 1,206.80
  4. Step 4: Simplify right side
    1,221.92x = 2,198,789.60
  5. Step 5: Solve for x
    x = 2,198,789.60/1,221.92
  6. Step 6: Final answer
    x = 1,799.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.