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Finding the Fourth Proportional to 8,074.36, 11,143.74 and 6,745.96

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Solution

The fourth proportional to 8,074.36, 11,143.74 and 6,745.96 is: 9,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.36 : 11,143.74 = 6,745.96 : x
  2. Step 2: Convert to fraction form
    8,074.36/11,143.74 = 6,745.96/x
  3. Step 3: Cross multiply
    8,074.36x = 11,143.74 × 6,745.96
  4. Step 4: Simplify right side
    8,074.36x = 75,175,224.29
  5. Step 5: Solve for x
    x = 75,175,224.29/8,074.36
  6. Step 6: Final answer
    x = 9,310.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.