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Finding the Fourth Proportional to 2,049.55, 3,076.07 and 817.82

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Solution

The fourth proportional to 2,049.55, 3,076.07 and 817.82 is: 1,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.55 : 3,076.07 = 817.82 : x
  2. Step 2: Convert to fraction form
    2,049.55/3,076.07 = 817.82/x
  3. Step 3: Cross multiply
    2,049.55x = 3,076.07 × 817.82
  4. Step 4: Simplify right side
    2,049.55x = 2,515,671.57
  5. Step 5: Solve for x
    x = 2,515,671.57/2,049.55
  6. Step 6: Final answer
    x = 1,227.43

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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.