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Finding the Fourth Proportional to 18,486.82, 27,742.38 and 6,800.14

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Solution

The fourth proportional to 18,486.82, 27,742.38 and 6,800.14 is: 10,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486.82 : 27,742.38 = 6,800.14 : x
  2. Step 2: Convert to fraction form
    18,486.82/27,742.38 = 6,800.14/x
  3. Step 3: Cross multiply
    18,486.82x = 27,742.38 × 6,800.14
  4. Step 4: Simplify right side
    18,486.82x = 188,652,067.93
  5. Step 5: Solve for x
    x = 188,652,067.93/18,486.82
  6. Step 6: Final answer
    x = 10,204.68

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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.