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Finding the Fourth Proportional to 8,554.26, 11,808.53 and 5,198.21

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Solution

The fourth proportional to 8,554.26, 11,808.53 and 5,198.21 is: 7,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.26 : 11,808.53 = 5,198.21 : x
  2. Step 2: Convert to fraction form
    8,554.26/11,808.53 = 5,198.21/x
  3. Step 3: Cross multiply
    8,554.26x = 11,808.53 × 5,198.21
  4. Step 4: Simplify right side
    8,554.26x = 61,383,133.70
  5. Step 5: Solve for x
    x = 61,383,133.70/8,554.26
  6. Step 6: Final answer
    x = 7,175.74

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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.