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Finding the Fourth Proportional to 18,105.82, 27,184.65 and 13,440.22

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Solution

The fourth proportional to 18,105.82, 27,184.65 and 13,440.22 is: 20,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.82 : 27,184.65 = 13,440.22 : x
  2. Step 2: Convert to fraction form
    18,105.82/27,184.65 = 13,440.22/x
  3. Step 3: Cross multiply
    18,105.82x = 27,184.65 × 13,440.22
  4. Step 4: Simplify right side
    18,105.82x = 365,367,676.62
  5. Step 5: Solve for x
    x = 365,367,676.62/18,105.82
  6. Step 6: Final answer
    x = 20,179.57

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1.5x scale

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.