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Finding the Fourth Proportional to 2,198.64, 3,297.96 and 1,286

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Solution

The fourth proportional to 2,198.64, 3,297.96 and 1,286 is: 1,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.64 : 3,297.96 = 1,286 : x
  2. Step 2: Convert to fraction form
    2,198.64/3,297.96 = 1,286/x
  3. Step 3: Cross multiply
    2,198.64x = 3,297.96 × 1,286
  4. Step 4: Simplify right side
    2,198.64x = 4,241,176.56
  5. Step 5: Solve for x
    x = 4,241,176.56/2,198.64
  6. Step 6: Final answer
    x = 1,929

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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.