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Finding the Fourth Proportional to 2,171, 3,257.04 and 632

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Solution

The fourth proportional to 2,171, 3,257.04 and 632 is: 948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 3,257.04 = 632 : x
  2. Step 2: Convert to fraction form
    2,171/3,257.04 = 632/x
  3. Step 3: Cross multiply
    2,171x = 3,257.04 × 632
  4. Step 4: Simplify right side
    2,171x = 2,058,449.28
  5. Step 5: Solve for x
    x = 2,058,449.28/2,171
  6. Step 6: Final answer
    x = 948.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.