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Finding the Fourth Proportional to 3,378, 4,660.56 and 2,198.64

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Solution

The fourth proportional to 3,378, 4,660.56 and 2,198.64 is: 3,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378 : 4,660.56 = 2,198.64 : x
  2. Step 2: Convert to fraction form
    3,378/4,660.56 = 2,198.64/x
  3. Step 3: Cross multiply
    3,378x = 4,660.56 × 2,198.64
  4. Step 4: Simplify right side
    3,378x = 10,246,893.64
  5. Step 5: Solve for x
    x = 10,246,893.64/3,378
  6. Step 6: Final answer
    x = 3,033.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.