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Finding the Fourth Proportional to 10,965.28, 16,447.94 and 2,757.28

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Solution

The fourth proportional to 10,965.28, 16,447.94 and 2,757.28 is: 4,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.28 : 16,447.94 = 2,757.28 : x
  2. Step 2: Convert to fraction form
    10,965.28/16,447.94 = 2,757.28/x
  3. Step 3: Cross multiply
    10,965.28x = 16,447.94 × 2,757.28
  4. Step 4: Simplify right side
    10,965.28x = 45,351,576.00
  5. Step 5: Solve for x
    x = 45,351,576.00/10,965.28
  6. Step 6: Final answer
    x = 4,135.93

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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.