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Finding the Fourth Proportional to 3,840.80, 5,761.20 and 2,674.40

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Solution

The fourth proportional to 3,840.80, 5,761.20 and 2,674.40 is: 4,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.80 : 5,761.20 = 2,674.40 : x
  2. Step 2: Convert to fraction form
    3,840.80/5,761.20 = 2,674.40/x
  3. Step 3: Cross multiply
    3,840.80x = 5,761.20 × 2,674.40
  4. Step 4: Simplify right side
    3,840.80x = 15,407,753.28
  5. Step 5: Solve for x
    x = 15,407,753.28/3,840.80
  6. Step 6: Final answer
    x = 4,011.60

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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.