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Finding the Fourth Proportional to 2,791.28, 4,186.79 and 843.43

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Solution

The fourth proportional to 2,791.28, 4,186.79 and 843.43 is: 1,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.28 : 4,186.79 = 843.43 : x
  2. Step 2: Convert to fraction form
    2,791.28/4,186.79 = 843.43/x
  3. Step 3: Cross multiply
    2,791.28x = 4,186.79 × 843.43
  4. Step 4: Simplify right side
    2,791.28x = 3,531,255.93
  5. Step 5: Solve for x
    x = 3,531,255.93/2,791.28
  6. Step 6: Final answer
    x = 1,265.10

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1.5x scale

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.