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Finding the Fourth Proportional to 2,217.38, 3,326.43 and 657.54

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Solution

The fourth proportional to 2,217.38, 3,326.43 and 657.54 is: 986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.38 : 3,326.43 = 657.54 : x
  2. Step 2: Convert to fraction form
    2,217.38/3,326.43 = 657.54/x
  3. Step 3: Cross multiply
    2,217.38x = 3,326.43 × 657.54
  4. Step 4: Simplify right side
    2,217.38x = 2,187,244.15
  5. Step 5: Solve for x
    x = 2,187,244.15/2,217.38
  6. Step 6: Final answer
    x = 986.41

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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.