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Finding the Fourth Proportional to 2,791.85, 3,853.24 and 2,087.22

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Solution

The fourth proportional to 2,791.85, 3,853.24 and 2,087.22 is: 2,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.85 : 3,853.24 = 2,087.22 : x
  2. Step 2: Convert to fraction form
    2,791.85/3,853.24 = 2,087.22/x
  3. Step 3: Cross multiply
    2,791.85x = 3,853.24 × 2,087.22
  4. Step 4: Simplify right side
    2,791.85x = 8,042,559.59
  5. Step 5: Solve for x
    x = 8,042,559.59/2,791.85
  6. Step 6: Final answer
    x = 2,880.73

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1.5x scale

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.