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Finding the Fourth Proportional to 12,105.84, 18,171.48 and 10,728

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Solution

The fourth proportional to 12,105.84, 18,171.48 and 10,728 is: 16,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.84 : 18,171.48 = 10,728 : x
  2. Step 2: Convert to fraction form
    12,105.84/18,171.48 = 10,728/x
  3. Step 3: Cross multiply
    12,105.84x = 18,171.48 × 10,728
  4. Step 4: Simplify right side
    12,105.84x = 194,943,637.44
  5. Step 5: Solve for x
    x = 194,943,637.44/12,105.84
  6. Step 6: Final answer
    x = 16,103.27

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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.