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Finding the Fourth Proportional to 2,791.39, 3,853.20 and 2,094.79

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Solution

The fourth proportional to 2,791.39, 3,853.20 and 2,094.79 is: 2,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.39 : 3,853.20 = 2,094.79 : x
  2. Step 2: Convert to fraction form
    2,791.39/3,853.20 = 2,094.79/x
  3. Step 3: Cross multiply
    2,791.39x = 3,853.20 × 2,094.79
  4. Step 4: Simplify right side
    2,791.39x = 8,071,644.83
  5. Step 5: Solve for x
    x = 8,071,644.83/2,791.39
  6. Step 6: Final answer
    x = 2,891.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.