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Finding the Fourth Proportional to 3,198.90, 4,799.12 and 1,007.63

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Solution

The fourth proportional to 3,198.90, 4,799.12 and 1,007.63 is: 1,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.90 : 4,799.12 = 1,007.63 : x
  2. Step 2: Convert to fraction form
    3,198.90/4,799.12 = 1,007.63/x
  3. Step 3: Cross multiply
    3,198.90x = 4,799.12 × 1,007.63
  4. Step 4: Simplify right side
    3,198.90x = 4,835,708.25
  5. Step 5: Solve for x
    x = 4,835,708.25/3,198.90
  6. Step 6: Final answer
    x = 1,511.68

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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.