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Finding the Fourth Proportional to 22,485, 33,729.14 and 8,634

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Solution

The fourth proportional to 22,485, 33,729.14 and 8,634 is: 12,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485 : 33,729.14 = 8,634 : x
  2. Step 2: Convert to fraction form
    22,485/33,729.14 = 8,634/x
  3. Step 3: Cross multiply
    22,485x = 33,729.14 × 8,634
  4. Step 4: Simplify right side
    22,485x = 291,217,351.59
  5. Step 5: Solve for x
    x = 291,217,351.59/22,485
  6. Step 6: Final answer
    x = 12,951.63

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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.