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Finding the Fourth Proportional to 2,677.80, 4,020.12 and 2,650.20

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Solution

The fourth proportional to 2,677.80, 4,020.12 and 2,650.20 is: 3,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.80 : 4,020.12 = 2,650.20 : x
  2. Step 2: Convert to fraction form
    2,677.80/4,020.12 = 2,650.20/x
  3. Step 3: Cross multiply
    2,677.80x = 4,020.12 × 2,650.20
  4. Step 4: Simplify right side
    2,677.80x = 10,654,122.02
  5. Step 5: Solve for x
    x = 10,654,122.02/2,677.80
  6. Step 6: Final answer
    x = 3,978.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.