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Finding the Fourth Proportional to 3,200.28, 4,796.38 and 1,715.82

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Solution

The fourth proportional to 3,200.28, 4,796.38 and 1,715.82 is: 2,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.28 : 4,796.38 = 1,715.82 : x
  2. Step 2: Convert to fraction form
    3,200.28/4,796.38 = 1,715.82/x
  3. Step 3: Cross multiply
    3,200.28x = 4,796.38 × 1,715.82
  4. Step 4: Simplify right side
    3,200.28x = 8,229,724.73
  5. Step 5: Solve for x
    x = 8,229,724.73/3,200.28
  6. Step 6: Final answer
    x = 2,571.56

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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.