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Finding the Fourth Proportional to 7,963.64, 11,945.43 and 2,120.25

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Solution

The fourth proportional to 7,963.64, 11,945.43 and 2,120.25 is: 3,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.64 : 11,945.43 = 2,120.25 : x
  2. Step 2: Convert to fraction form
    7,963.64/11,945.43 = 2,120.25/x
  3. Step 3: Cross multiply
    7,963.64x = 11,945.43 × 2,120.25
  4. Step 4: Simplify right side
    7,963.64x = 25,327,297.96
  5. Step 5: Solve for x
    x = 25,327,297.96/7,963.64
  6. Step 6: Final answer
    x = 3,180.37

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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.