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Finding the Fourth Proportional to 8,149.18, 11,236 and 6,888

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Solution

The fourth proportional to 8,149.18, 11,236 and 6,888 is: 9,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.18 : 11,236 = 6,888 : x
  2. Step 2: Convert to fraction form
    8,149.18/11,236 = 6,888/x
  3. Step 3: Cross multiply
    8,149.18x = 11,236 × 6,888
  4. Step 4: Simplify right side
    8,149.18x = 77,393,568
  5. Step 5: Solve for x
    x = 77,393,568/8,149.18
  6. Step 6: Final answer
    x = 9,497.10

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Why These Related Problems?

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