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Finding the Fourth Proportional to 7,969.64, 11,954.30 and 2,775.38

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Solution

The fourth proportional to 7,969.64, 11,954.30 and 2,775.38 is: 4,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.64 : 11,954.30 = 2,775.38 : x
  2. Step 2: Convert to fraction form
    7,969.64/11,954.30 = 2,775.38/x
  3. Step 3: Cross multiply
    7,969.64x = 11,954.30 × 2,775.38
  4. Step 4: Simplify right side
    7,969.64x = 33,177,651.49
  5. Step 5: Solve for x
    x = 33,177,651.49/7,969.64
  6. Step 6: Final answer
    x = 4,163.01

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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.