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Finding the Fourth Proportional to 18,682.74, 25,767.60 and 11,968.99

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Solution

The fourth proportional to 18,682.74, 25,767.60 and 11,968.99 is: 16,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.74 : 25,767.60 = 11,968.99 : x
  2. Step 2: Convert to fraction form
    18,682.74/25,767.60 = 11,968.99/x
  3. Step 3: Cross multiply
    18,682.74x = 25,767.60 × 11,968.99
  4. Step 4: Simplify right side
    18,682.74x = 308,412,211.14
  5. Step 5: Solve for x
    x = 308,412,211.14/18,682.74
  6. Step 6: Final answer
    x = 16,507.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.