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Finding the Fourth Proportional to 3,964.09, 5,955.25 and 2,796.78

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Solution

The fourth proportional to 3,964.09, 5,955.25 and 2,796.78 is: 4,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.09 : 5,955.25 = 2,796.78 : x
  2. Step 2: Convert to fraction form
    3,964.09/5,955.25 = 2,796.78/x
  3. Step 3: Cross multiply
    3,964.09x = 5,955.25 × 2,796.78
  4. Step 4: Simplify right side
    3,964.09x = 16,655,517.10
  5. Step 5: Solve for x
    x = 16,655,517.10/3,964.09
  6. Step 6: Final answer
    x = 4,201.60

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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.