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Finding the Fourth Proportional to 2,615.97, 3,924 and 641.61

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Solution

The fourth proportional to 2,615.97, 3,924 and 641.61 is: 962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.97 : 3,924 = 641.61 : x
  2. Step 2: Convert to fraction form
    2,615.97/3,924 = 641.61/x
  3. Step 3: Cross multiply
    2,615.97x = 3,924 × 641.61
  4. Step 4: Simplify right side
    2,615.97x = 2,517,677.64
  5. Step 5: Solve for x
    x = 2,517,677.64/2,615.97
  6. Step 6: Final answer
    x = 962.42

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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.