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Finding the Fourth Proportional to 4,517.28, 6,764.40 and 2,780.64

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Solution

The fourth proportional to 4,517.28, 6,764.40 and 2,780.64 is: 4,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.28 : 6,764.40 = 2,780.64 : x
  2. Step 2: Convert to fraction form
    4,517.28/6,764.40 = 2,780.64/x
  3. Step 3: Cross multiply
    4,517.28x = 6,764.40 × 2,780.64
  4. Step 4: Simplify right side
    4,517.28x = 18,809,361.22
  5. Step 5: Solve for x
    x = 18,809,361.22/4,517.28
  6. Step 6: Final answer
    x = 4,163.87

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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.