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Finding the Fourth Proportional to 2,691.33, 4,034.82 and 841.49

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Solution

The fourth proportional to 2,691.33, 4,034.82 and 841.49 is: 1,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.33 : 4,034.82 = 841.49 : x
  2. Step 2: Convert to fraction form
    2,691.33/4,034.82 = 841.49/x
  3. Step 3: Cross multiply
    2,691.33x = 4,034.82 × 841.49
  4. Step 4: Simplify right side
    2,691.33x = 3,395,276.76
  5. Step 5: Solve for x
    x = 3,395,276.76/2,691.33
  6. Step 6: Final answer
    x = 1,261.56

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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.