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Finding the Fourth Proportional to 7,791.28, 11,691.74 and 3,174.28

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Solution

The fourth proportional to 7,791.28, 11,691.74 and 3,174.28 is: 4,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.28 : 11,691.74 = 3,174.28 : x
  2. Step 2: Convert to fraction form
    7,791.28/11,691.74 = 3,174.28/x
  3. Step 3: Cross multiply
    7,791.28x = 11,691.74 × 3,174.28
  4. Step 4: Simplify right side
    7,791.28x = 37,112,856.45
  5. Step 5: Solve for x
    x = 37,112,856.45/7,791.28
  6. Step 6: Final answer
    x = 4,763.38

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1.5x scale

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.