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Finding the Fourth Proportional to 21,874, 30,187.20 and 12,443.44

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Solution

The fourth proportional to 21,874, 30,187.20 and 12,443.44 is: 17,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 30,187.20 = 12,443.44 : x
  2. Step 2: Convert to fraction form
    21,874/30,187.20 = 12,443.44/x
  3. Step 3: Cross multiply
    21,874x = 30,187.20 × 12,443.44
  4. Step 4: Simplify right side
    21,874x = 375,632,611.97
  5. Step 5: Solve for x
    x = 375,632,611.97/21,874
  6. Step 6: Final answer
    x = 17,172.56

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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.