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Finding the Fourth Proportional to 2,871, 3,962.52 and 1,629

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Solution

The fourth proportional to 2,871, 3,962.52 and 1,629 is: 2,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 3,962.52 = 1,629 : x
  2. Step 2: Convert to fraction form
    2,871/3,962.52 = 1,629/x
  3. Step 3: Cross multiply
    2,871x = 3,962.52 × 1,629
  4. Step 4: Simplify right side
    2,871x = 6,454,945.08
  5. Step 5: Solve for x
    x = 6,454,945.08/2,871
  6. Step 6: Final answer
    x = 2,248.33

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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.