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Finding the Fourth Proportional to 7,391.25, 11,091.74 and 2,774.25

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Solution

The fourth proportional to 7,391.25, 11,091.74 and 2,774.25 is: 4,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.25 : 11,091.74 = 2,774.25 : x
  2. Step 2: Convert to fraction form
    7,391.25/11,091.74 = 2,774.25/x
  3. Step 3: Cross multiply
    7,391.25x = 11,091.74 × 2,774.25
  4. Step 4: Simplify right side
    7,391.25x = 30,771,245.82
  5. Step 5: Solve for x
    x = 30,771,245.82/7,391.25
  6. Step 6: Final answer
    x = 4,163.20

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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.