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Finding the Fourth Proportional to 18,496.20, 27,722.70 and 9,726.60

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Solution

The fourth proportional to 18,496.20, 27,722.70 and 9,726.60 is: 14,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.20 : 27,722.70 = 9,726.60 : x
  2. Step 2: Convert to fraction form
    18,496.20/27,722.70 = 9,726.60/x
  3. Step 3: Cross multiply
    18,496.20x = 27,722.70 × 9,726.60
  4. Step 4: Simplify right side
    18,496.20x = 269,647,613.82
  5. Step 5: Solve for x
    x = 269,647,613.82/18,496.20
  6. Step 6: Final answer
    x = 14,578.54

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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.