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Finding the Fourth Proportional to 2,206.62, 3,310.41 and 667.74

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Solution

The fourth proportional to 2,206.62, 3,310.41 and 667.74 is: 1,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.62 : 3,310.41 = 667.74 : x
  2. Step 2: Convert to fraction form
    2,206.62/3,310.41 = 667.74/x
  3. Step 3: Cross multiply
    2,206.62x = 3,310.41 × 667.74
  4. Step 4: Simplify right side
    2,206.62x = 2,210,493.17
  5. Step 5: Solve for x
    x = 2,210,493.17/2,206.62
  6. Step 6: Final answer
    x = 1,001.76

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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.