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Finding the Fourth Proportional to 12,772, 19,144.36 and 6,183.73

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Solution

The fourth proportional to 12,772, 19,144.36 and 6,183.73 is: 9,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772 : 19,144.36 = 6,183.73 : x
  2. Step 2: Convert to fraction form
    12,772/19,144.36 = 6,183.73/x
  3. Step 3: Cross multiply
    12,772x = 19,144.36 × 6,183.73
  4. Step 4: Simplify right side
    12,772x = 118,383,553.26
  5. Step 5: Solve for x
    x = 118,383,553.26/12,772
  6. Step 6: Final answer
    x = 9,268.99

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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.