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Finding the Fourth Proportional to 2,668.57, 3,997 and 2,201.08

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Solution

The fourth proportional to 2,668.57, 3,997 and 2,201.08 is: 3,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.57 : 3,997 = 2,201.08 : x
  2. Step 2: Convert to fraction form
    2,668.57/3,997 = 2,201.08/x
  3. Step 3: Cross multiply
    2,668.57x = 3,997 × 2,201.08
  4. Step 4: Simplify right side
    2,668.57x = 8,797,716.76
  5. Step 5: Solve for x
    x = 8,797,716.76/2,668.57
  6. Step 6: Final answer
    x = 3,296.79

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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.