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Finding the Fourth Proportional to 2,867.71, 3,958.11 and 1,871.26

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Solution

The fourth proportional to 2,867.71, 3,958.11 and 1,871.26 is: 2,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.71 : 3,958.11 = 1,871.26 : x
  2. Step 2: Convert to fraction form
    2,867.71/3,958.11 = 1,871.26/x
  3. Step 3: Cross multiply
    2,867.71x = 3,958.11 × 1,871.26
  4. Step 4: Simplify right side
    2,867.71x = 7,406,652.92
  5. Step 5: Solve for x
    x = 7,406,652.92/2,867.71
  6. Step 6: Final answer
    x = 2,582.78

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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.