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Finding the Fourth Proportional to 3,198.40, 4,797.92 and 889.90

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Solution

The fourth proportional to 3,198.40, 4,797.92 and 889.90 is: 1,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.40 : 4,797.92 = 889.90 : x
  2. Step 2: Convert to fraction form
    3,198.40/4,797.92 = 889.90/x
  3. Step 3: Cross multiply
    3,198.40x = 4,797.92 × 889.90
  4. Step 4: Simplify right side
    3,198.40x = 4,269,669.01
  5. Step 5: Solve for x
    x = 4,269,669.01/3,198.40
  6. Step 6: Final answer
    x = 1,334.94

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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.