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Finding the Fourth Proportional to 9,107.78, 13,657.89 and 3,183.41

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Solution

The fourth proportional to 9,107.78, 13,657.89 and 3,183.41 is: 4,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.78 : 13,657.89 = 3,183.41 : x
  2. Step 2: Convert to fraction form
    9,107.78/13,657.89 = 3,183.41/x
  3. Step 3: Cross multiply
    9,107.78x = 13,657.89 × 3,183.41
  4. Step 4: Simplify right side
    9,107.78x = 43,478,709.69
  5. Step 5: Solve for x
    x = 43,478,709.69/9,107.78
  6. Step 6: Final answer
    x = 4,773.80

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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.