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Finding the Fourth Proportional to 21,871.10, 32,821.13 and 12,017.25

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Solution

The fourth proportional to 21,871.10, 32,821.13 and 12,017.25 is: 18,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.10 : 32,821.13 = 12,017.25 : x
  2. Step 2: Convert to fraction form
    21,871.10/32,821.13 = 12,017.25/x
  3. Step 3: Cross multiply
    21,871.10x = 32,821.13 × 12,017.25
  4. Step 4: Simplify right side
    21,871.10x = 394,419,754.54
  5. Step 5: Solve for x
    x = 394,419,754.54/21,871.10
  6. Step 6: Final answer
    x = 18,033.83

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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.