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Finding the Fourth Proportional to 2,811.80, 4,217.68 and 731.80

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Solution

The fourth proportional to 2,811.80, 4,217.68 and 731.80 is: 1,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.80 : 4,217.68 = 731.80 : x
  2. Step 2: Convert to fraction form
    2,811.80/4,217.68 = 731.80/x
  3. Step 3: Cross multiply
    2,811.80x = 4,217.68 × 731.80
  4. Step 4: Simplify right side
    2,811.80x = 3,086,498.22
  5. Step 5: Solve for x
    x = 3,086,498.22/2,811.80
  6. Step 6: Final answer
    x = 1,097.69

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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.