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Finding the Fourth Proportional to 21,882, 30,197.16 and 12,456

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Solution

The fourth proportional to 21,882, 30,197.16 and 12,456 is: 17,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882 : 30,197.16 = 12,456 : x
  2. Step 2: Convert to fraction form
    21,882/30,197.16 = 12,456/x
  3. Step 3: Cross multiply
    21,882x = 30,197.16 × 12,456
  4. Step 4: Simplify right side
    21,882x = 376,135,824.96
  5. Step 5: Solve for x
    x = 376,135,824.96/21,882
  6. Step 6: Final answer
    x = 17,189.28

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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.