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Finding the Fourth Proportional to 3,198.84, 4,800.24 and 1,252.68

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Solution

The fourth proportional to 3,198.84, 4,800.24 and 1,252.68 is: 1,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.84 : 4,800.24 = 1,252.68 : x
  2. Step 2: Convert to fraction form
    3,198.84/4,800.24 = 1,252.68/x
  3. Step 3: Cross multiply
    3,198.84x = 4,800.24 × 1,252.68
  4. Step 4: Simplify right side
    3,198.84x = 6,013,164.64
  5. Step 5: Solve for x
    x = 6,013,164.64/3,198.84
  6. Step 6: Final answer
    x = 1,879.80

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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.