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Finding the Fourth Proportional to 2,872.82, 3,964.49 and 1,613.91

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Solution

The fourth proportional to 2,872.82, 3,964.49 and 1,613.91 is: 2,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.82 : 3,964.49 = 1,613.91 : x
  2. Step 2: Convert to fraction form
    2,872.82/3,964.49 = 1,613.91/x
  3. Step 3: Cross multiply
    2,872.82x = 3,964.49 × 1,613.91
  4. Step 4: Simplify right side
    2,872.82x = 6,398,335.93
  5. Step 5: Solve for x
    x = 6,398,335.93/2,872.82
  6. Step 6: Final answer
    x = 2,227.20

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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.