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Finding the Fourth Proportional to 22,361, 30,858.24 and 12,425

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Solution

The fourth proportional to 22,361, 30,858.24 and 12,425 is: 17,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,361 : 30,858.24 = 12,425 : x
  2. Step 2: Convert to fraction form
    22,361/30,858.24 = 12,425/x
  3. Step 3: Cross multiply
    22,361x = 30,858.24 × 12,425
  4. Step 4: Simplify right side
    22,361x = 383,413,632
  5. Step 5: Solve for x
    x = 383,413,632/22,361
  6. Step 6: Final answer
    x = 17,146.53

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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.