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Finding the Fourth Proportional to 2,217.89, 3,326.61 and 574.49

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Solution

The fourth proportional to 2,217.89, 3,326.61 and 574.49 is: 861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.89 : 3,326.61 = 574.49 : x
  2. Step 2: Convert to fraction form
    2,217.89/3,326.61 = 574.49/x
  3. Step 3: Cross multiply
    2,217.89x = 3,326.61 × 574.49
  4. Step 4: Simplify right side
    2,217.89x = 1,911,104.18
  5. Step 5: Solve for x
    x = 1,911,104.18/2,217.89
  6. Step 6: Final answer
    x = 861.68

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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.