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Finding the Fourth Proportional to 1,863.96, 2,791.62 and 1,799.16

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Solution

The fourth proportional to 1,863.96, 2,791.62 and 1,799.16 is: 2,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.96 : 2,791.62 = 1,799.16 : x
  2. Step 2: Convert to fraction form
    1,863.96/2,791.62 = 1,799.16/x
  3. Step 3: Cross multiply
    1,863.96x = 2,791.62 × 1,799.16
  4. Step 4: Simplify right side
    1,863.96x = 5,022,571.04
  5. Step 5: Solve for x
    x = 5,022,571.04/1,863.96
  6. Step 6: Final answer
    x = 2,694.57

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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.