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Finding the Fourth Proportional to 3,198.78, 4,798.16 and 1,007.73

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Solution

The fourth proportional to 3,198.78, 4,798.16 and 1,007.73 is: 1,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.78 : 4,798.16 = 1,007.73 : x
  2. Step 2: Convert to fraction form
    3,198.78/4,798.16 = 1,007.73/x
  3. Step 3: Cross multiply
    3,198.78x = 4,798.16 × 1,007.73
  4. Step 4: Simplify right side
    3,198.78x = 4,835,244.74
  5. Step 5: Solve for x
    x = 4,835,244.74/3,198.78
  6. Step 6: Final answer
    x = 1,511.59

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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.