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Finding the Fourth Proportional to 3,145.88, 4,717.74 and 1,198.64

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Solution

The fourth proportional to 3,145.88, 4,717.74 and 1,198.64 is: 1,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.88 : 4,717.74 = 1,198.64 : x
  2. Step 2: Convert to fraction form
    3,145.88/4,717.74 = 1,198.64/x
  3. Step 3: Cross multiply
    3,145.88x = 4,717.74 × 1,198.64
  4. Step 4: Simplify right side
    3,145.88x = 5,654,871.87
  5. Step 5: Solve for x
    x = 5,654,871.87/3,145.88
  6. Step 6: Final answer
    x = 1,797.55

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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.