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Finding the Fourth Proportional to 11,906.56, 17,860.80 and 4,115.44

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Solution

The fourth proportional to 11,906.56, 17,860.80 and 4,115.44 is: 6,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.56 : 17,860.80 = 4,115.44 : x
  2. Step 2: Convert to fraction form
    11,906.56/17,860.80 = 4,115.44/x
  3. Step 3: Cross multiply
    11,906.56x = 17,860.80 × 4,115.44
  4. Step 4: Simplify right side
    11,906.56x = 73,505,050.75
  5. Step 5: Solve for x
    x = 73,505,050.75/11,906.56
  6. Step 6: Final answer
    x = 6,173.49

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1.5x scale

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.