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Finding the Fourth Proportional to 7,667.28, 11,500.92 and 5,351.76

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Solution

The fourth proportional to 7,667.28, 11,500.92 and 5,351.76 is: 8,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.28 : 11,500.92 = 5,351.76 : x
  2. Step 2: Convert to fraction form
    7,667.28/11,500.92 = 5,351.76/x
  3. Step 3: Cross multiply
    7,667.28x = 11,500.92 × 5,351.76
  4. Step 4: Simplify right side
    7,667.28x = 61,550,163.62
  5. Step 5: Solve for x
    x = 61,550,163.62/7,667.28
  6. Step 6: Final answer
    x = 8,027.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.