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Finding the Fourth Proportional to 7,966, 11,949.54 and 2,122.48

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Solution

The fourth proportional to 7,966, 11,949.54 and 2,122.48 is: 3,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966 : 11,949.54 = 2,122.48 : x
  2. Step 2: Convert to fraction form
    7,966/11,949.54 = 2,122.48/x
  3. Step 3: Cross multiply
    7,966x = 11,949.54 × 2,122.48
  4. Step 4: Simplify right side
    7,966x = 25,362,659.66
  5. Step 5: Solve for x
    x = 25,362,659.66/7,966
  6. Step 6: Final answer
    x = 3,183.86

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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.