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Finding the Fourth Proportional to 2,871.61, 3,965.16 and 2,340.57

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Solution

The fourth proportional to 2,871.61, 3,965.16 and 2,340.57 is: 3,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.61 : 3,965.16 = 2,340.57 : x
  2. Step 2: Convert to fraction form
    2,871.61/3,965.16 = 2,340.57/x
  3. Step 3: Cross multiply
    2,871.61x = 3,965.16 × 2,340.57
  4. Step 4: Simplify right side
    2,871.61x = 9,280,734.54
  5. Step 5: Solve for x
    x = 9,280,734.54/2,871.61
  6. Step 6: Final answer
    x = 3,231.89

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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.