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Finding the Fourth Proportional to 2,871.18, 3,964.56 and 2,309.88

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Solution

The fourth proportional to 2,871.18, 3,964.56 and 2,309.88 is: 3,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.18 : 3,964.56 = 2,309.88 : x
  2. Step 2: Convert to fraction form
    2,871.18/3,964.56 = 2,309.88/x
  3. Step 3: Cross multiply
    2,871.18x = 3,964.56 × 2,309.88
  4. Step 4: Simplify right side
    2,871.18x = 9,157,657.85
  5. Step 5: Solve for x
    x = 9,157,657.85/2,871.18
  6. Step 6: Final answer
    x = 3,189.51

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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.