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Finding the Fourth Proportional to 2,765.78, 4,149.30 and 818

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Solution

The fourth proportional to 2,765.78, 4,149.30 and 818 is: 1,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.78 : 4,149.30 = 818 : x
  2. Step 2: Convert to fraction form
    2,765.78/4,149.30 = 818/x
  3. Step 3: Cross multiply
    2,765.78x = 4,149.30 × 818
  4. Step 4: Simplify right side
    2,765.78x = 3,394,127.40
  5. Step 5: Solve for x
    x = 3,394,127.40/2,765.78
  6. Step 6: Final answer
    x = 1,227.19

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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.