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Finding the Fourth Proportional to 18,472.70, 27,721.20 and 6,786.02

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Solution

The fourth proportional to 18,472.70, 27,721.20 and 6,786.02 is: 10,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.70 : 27,721.20 = 6,786.02 : x
  2. Step 2: Convert to fraction form
    18,472.70/27,721.20 = 6,786.02/x
  3. Step 3: Cross multiply
    18,472.70x = 27,721.20 × 6,786.02
  4. Step 4: Simplify right side
    18,472.70x = 188,116,479.02
  5. Step 5: Solve for x
    x = 188,116,479.02/18,472.70
  6. Step 6: Final answer
    x = 10,183.49

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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.