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Finding the Fourth Proportional to 8,481.78, 11,714 and 6,615.54

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Solution

The fourth proportional to 8,481.78, 11,714 and 6,615.54 is: 9,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.78 : 11,714 = 6,615.54 : x
  2. Step 2: Convert to fraction form
    8,481.78/11,714 = 6,615.54/x
  3. Step 3: Cross multiply
    8,481.78x = 11,714 × 6,615.54
  4. Step 4: Simplify right side
    8,481.78x = 77,494,435.56
  5. Step 5: Solve for x
    x = 77,494,435.56/8,481.78
  6. Step 6: Final answer
    x = 9,136.58

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1.5x scale

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.