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Finding the Fourth Proportional to 8,175.25, 11,278.94 and 5,344.25

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Solution

The fourth proportional to 8,175.25, 11,278.94 and 5,344.25 is: 7,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.25 : 11,278.94 = 5,344.25 : x
  2. Step 2: Convert to fraction form
    8,175.25/11,278.94 = 5,344.25/x
  3. Step 3: Cross multiply
    8,175.25x = 11,278.94 × 5,344.25
  4. Step 4: Simplify right side
    8,175.25x = 60,277,461.73
  5. Step 5: Solve for x
    x = 60,277,461.73/8,175.25
  6. Step 6: Final answer
    x = 7,373.16

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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.