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Finding the Fourth Proportional to 2,326.72, 3,489.21 and 939.61

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Solution

The fourth proportional to 2,326.72, 3,489.21 and 939.61 is: 1,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.72 : 3,489.21 = 939.61 : x
  2. Step 2: Convert to fraction form
    2,326.72/3,489.21 = 939.61/x
  3. Step 3: Cross multiply
    2,326.72x = 3,489.21 × 939.61
  4. Step 4: Simplify right side
    2,326.72x = 3,278,496.61
  5. Step 5: Solve for x
    x = 3,278,496.61/2,326.72
  6. Step 6: Final answer
    x = 1,409.06

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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.