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Finding the Fourth Proportional to 27,181.98, 40,786.89 and 12,388.98

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Solution

The fourth proportional to 27,181.98, 40,786.89 and 12,388.98 is: 18,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.98 : 40,786.89 = 12,388.98 : x
  2. Step 2: Convert to fraction form
    27,181.98/40,786.89 = 12,388.98/x
  3. Step 3: Cross multiply
    27,181.98x = 40,786.89 × 12,388.98
  4. Step 4: Simplify right side
    27,181.98x = 505,307,964.47
  5. Step 5: Solve for x
    x = 505,307,964.47/27,181.98
  6. Step 6: Final answer
    x = 18,589.81

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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.