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Finding the Fourth Proportional to 2,791.82, 3,853.41 and 1,613.63

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Solution

The fourth proportional to 2,791.82, 3,853.41 and 1,613.63 is: 2,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.82 : 3,853.41 = 1,613.63 : x
  2. Step 2: Convert to fraction form
    2,791.82/3,853.41 = 1,613.63/x
  3. Step 3: Cross multiply
    2,791.82x = 3,853.41 × 1,613.63
  4. Step 4: Simplify right side
    2,791.82x = 6,217,977.98
  5. Step 5: Solve for x
    x = 6,217,977.98/2,791.82
  6. Step 6: Final answer
    x = 2,227.21

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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.