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Finding the Fourth Proportional to 8,231.25, 11,359.17 and 4,505.25

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Solution

The fourth proportional to 8,231.25, 11,359.17 and 4,505.25 is: 6,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.25 : 11,359.17 = 4,505.25 : x
  2. Step 2: Convert to fraction form
    8,231.25/11,359.17 = 4,505.25/x
  3. Step 3: Cross multiply
    8,231.25x = 11,359.17 × 4,505.25
  4. Step 4: Simplify right side
    8,231.25x = 51,175,900.64
  5. Step 5: Solve for x
    x = 51,175,900.64/8,231.25
  6. Step 6: Final answer
    x = 6,217.27

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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.