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Finding the Fourth Proportional to 2,872.73, 3,964.09 and 1,613.50

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Solution

The fourth proportional to 2,872.73, 3,964.09 and 1,613.50 is: 2,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.73 : 3,964.09 = 1,613.50 : x
  2. Step 2: Convert to fraction form
    2,872.73/3,964.09 = 1,613.50/x
  3. Step 3: Cross multiply
    2,872.73x = 3,964.09 × 1,613.50
  4. Step 4: Simplify right side
    2,872.73x = 6,396,055.18
  5. Step 5: Solve for x
    x = 6,396,055.18/2,872.73
  6. Step 6: Final answer
    x = 2,226.47

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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.