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Finding the Fourth Proportional to 3,581.82, 5,377.32 and 2,760.66

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Solution

The fourth proportional to 3,581.82, 5,377.32 and 2,760.66 is: 4,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.82 : 5,377.32 = 2,760.66 : x
  2. Step 2: Convert to fraction form
    3,581.82/5,377.32 = 2,760.66/x
  3. Step 3: Cross multiply
    3,581.82x = 5,377.32 × 2,760.66
  4. Step 4: Simplify right side
    3,581.82x = 14,844,952.23
  5. Step 5: Solve for x
    x = 14,844,952.23/3,581.82
  6. Step 6: Final answer
    x = 4,144.53

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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.