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Finding the Fourth Proportional to 3,219.56, 4,829.56 and 1,028.44

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Solution

The fourth proportional to 3,219.56, 4,829.56 and 1,028.44 is: 1,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.56 : 4,829.56 = 1,028.44 : x
  2. Step 2: Convert to fraction form
    3,219.56/4,829.56 = 1,028.44/x
  3. Step 3: Cross multiply
    3,219.56x = 4,829.56 × 1,028.44
  4. Step 4: Simplify right side
    3,219.56x = 4,966,912.69
  5. Step 5: Solve for x
    x = 4,966,912.69/3,219.56
  6. Step 6: Final answer
    x = 1,542.73

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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.