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Finding the Fourth Proportional to 18,832.78, 28,249.14 and 7,731.65

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Solution

The fourth proportional to 18,832.78, 28,249.14 and 7,731.65 is: 11,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832.78 : 28,249.14 = 7,731.65 : x
  2. Step 2: Convert to fraction form
    18,832.78/28,249.14 = 7,731.65/x
  3. Step 3: Cross multiply
    18,832.78x = 28,249.14 × 7,731.65
  4. Step 4: Simplify right side
    18,832.78x = 218,412,427.97
  5. Step 5: Solve for x
    x = 218,412,427.97/18,832.78
  6. Step 6: Final answer
    x = 11,597.46

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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.