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Finding the Fourth Proportional to 36,849, 55,273.86 and 9,147

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Solution

The fourth proportional to 36,849, 55,273.86 and 9,147 is: 13,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,849 : 55,273.86 = 9,147 : x
  2. Step 2: Convert to fraction form
    36,849/55,273.86 = 9,147/x
  3. Step 3: Cross multiply
    36,849x = 55,273.86 × 9,147
  4. Step 4: Simplify right side
    36,849x = 505,589,997.42
  5. Step 5: Solve for x
    x = 505,589,997.42/36,849
  6. Step 6: Final answer
    x = 13,720.59

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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.