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Finding the Fourth Proportional to 2,766.64, 4,149.96 and 820.30

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Solution

The fourth proportional to 2,766.64, 4,149.96 and 820.30 is: 1,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.64 : 4,149.96 = 820.30 : x
  2. Step 2: Convert to fraction form
    2,766.64/4,149.96 = 820.30/x
  3. Step 3: Cross multiply
    2,766.64x = 4,149.96 × 820.30
  4. Step 4: Simplify right side
    2,766.64x = 3,404,212.19
  5. Step 5: Solve for x
    x = 3,404,212.19/2,766.64
  6. Step 6: Final answer
    x = 1,230.45

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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.