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Finding the Fourth Proportional to 3,843.67, 5,304.78 and 2,165.41

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Solution

The fourth proportional to 3,843.67, 5,304.78 and 2,165.41 is: 2,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.67 : 5,304.78 = 2,165.41 : x
  2. Step 2: Convert to fraction form
    3,843.67/5,304.78 = 2,165.41/x
  3. Step 3: Cross multiply
    3,843.67x = 5,304.78 × 2,165.41
  4. Step 4: Simplify right side
    3,843.67x = 11,487,023.66
  5. Step 5: Solve for x
    x = 11,487,023.66/3,843.67
  6. Step 6: Final answer
    x = 2,988.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.