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Finding the Fourth Proportional to 12,201.87, 18,299.12 and 5,181.82

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Solution

The fourth proportional to 12,201.87, 18,299.12 and 5,181.82 is: 7,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.87 : 18,299.12 = 5,181.82 : x
  2. Step 2: Convert to fraction form
    12,201.87/18,299.12 = 5,181.82/x
  3. Step 3: Cross multiply
    12,201.87x = 18,299.12 × 5,181.82
  4. Step 4: Simplify right side
    12,201.87x = 94,822,777.27
  5. Step 5: Solve for x
    x = 94,822,777.27/12,201.87
  6. Step 6: Final answer
    x = 7,771.17

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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.