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Finding the Fourth Proportional to 18,224, 27,310.60 and 13,778

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Solution

The fourth proportional to 18,224, 27,310.60 and 13,778 is: 20,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224 : 27,310.60 = 13,778 : x
  2. Step 2: Convert to fraction form
    18,224/27,310.60 = 13,778/x
  3. Step 3: Cross multiply
    18,224x = 27,310.60 × 13,778
  4. Step 4: Simplify right side
    18,224x = 376,285,446.80
  5. Step 5: Solve for x
    x = 376,285,446.80/18,224
  6. Step 6: Final answer
    x = 20,647.80

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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.