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Finding the Fourth Proportional to 2,791.72, 4,186.86 and 843.40

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Solution

The fourth proportional to 2,791.72, 4,186.86 and 843.40 is: 1,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.72 : 4,186.86 = 843.40 : x
  2. Step 2: Convert to fraction form
    2,791.72/4,186.86 = 843.40/x
  3. Step 3: Cross multiply
    2,791.72x = 4,186.86 × 843.40
  4. Step 4: Simplify right side
    2,791.72x = 3,531,197.72
  5. Step 5: Solve for x
    x = 3,531,197.72/2,791.72
  6. Step 6: Final answer
    x = 1,264.88

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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.