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Finding the Fourth Proportional to 2,659.66, 3,991.11 and 1,198.96

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Solution

The fourth proportional to 2,659.66, 3,991.11 and 1,198.96 is: 1,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.66 : 3,991.11 = 1,198.96 : x
  2. Step 2: Convert to fraction form
    2,659.66/3,991.11 = 1,198.96/x
  3. Step 3: Cross multiply
    2,659.66x = 3,991.11 × 1,198.96
  4. Step 4: Simplify right side
    2,659.66x = 4,785,181.25
  5. Step 5: Solve for x
    x = 4,785,181.25/2,659.66
  6. Step 6: Final answer
    x = 1,799.17

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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.