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Finding the Fourth Proportional to 3,200.74, 4,796.94 and 1,639.42

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Solution

The fourth proportional to 3,200.74, 4,796.94 and 1,639.42 is: 2,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.74 : 4,796.94 = 1,639.42 : x
  2. Step 2: Convert to fraction form
    3,200.74/4,796.94 = 1,639.42/x
  3. Step 3: Cross multiply
    3,200.74x = 4,796.94 × 1,639.42
  4. Step 4: Simplify right side
    3,200.74x = 7,864,175.39
  5. Step 5: Solve for x
    x = 7,864,175.39/3,200.74
  6. Step 6: Final answer
    x = 2,456.99

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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.