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Finding the Fourth Proportional to 2,871, 3,957.12 and 2,372.04

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Solution

The fourth proportional to 2,871, 3,957.12 and 2,372.04 is: 3,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 3,957.12 = 2,372.04 : x
  2. Step 2: Convert to fraction form
    2,871/3,957.12 = 2,372.04/x
  3. Step 3: Cross multiply
    2,871x = 3,957.12 × 2,372.04
  4. Step 4: Simplify right side
    2,871x = 9,386,446.92
  5. Step 5: Solve for x
    x = 9,386,446.92/2,871
  6. Step 6: Final answer
    x = 3,269.40

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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.