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Finding the Fourth Proportional to 3,145.70, 4,718 and 1,198.02

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Solution

The fourth proportional to 3,145.70, 4,718 and 1,198.02 is: 1,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.70 : 4,718 = 1,198.02 : x
  2. Step 2: Convert to fraction form
    3,145.70/4,718 = 1,198.02/x
  3. Step 3: Cross multiply
    3,145.70x = 4,718 × 1,198.02
  4. Step 4: Simplify right side
    3,145.70x = 5,652,258.36
  5. Step 5: Solve for x
    x = 5,652,258.36/3,145.70
  6. Step 6: Final answer
    x = 1,796.82

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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.