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Finding the Fourth Proportional to 13,850.84, 20,850.26 and 12,422

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Solution

The fourth proportional to 13,850.84, 20,850.26 and 12,422 is: 18,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.84 : 20,850.26 = 12,422 : x
  2. Step 2: Convert to fraction form
    13,850.84/20,850.26 = 12,422/x
  3. Step 3: Cross multiply
    13,850.84x = 20,850.26 × 12,422
  4. Step 4: Simplify right side
    13,850.84x = 259,001,929.72
  5. Step 5: Solve for x
    x = 259,001,929.72/13,850.84
  6. Step 6: Final answer
    x = 18,699.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.