Home / 2,871-3,962.46-2,171.16

Finding the Fourth Proportional to 2,871, 3,962.46 and 2,171.16

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Solution

The fourth proportional to 2,871, 3,962.46 and 2,171.16 is: 2,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 3,962.46 = 2,171.16 : x
  2. Step 2: Convert to fraction form
    2,871/3,962.46 = 2,171.16/x
  3. Step 3: Cross multiply
    2,871x = 3,962.46 × 2,171.16
  4. Step 4: Simplify right side
    2,871x = 8,603,134.65
  5. Step 5: Solve for x
    x = 8,603,134.65/2,871
  6. Step 6: Final answer
    x = 2,996.56

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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.