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Finding the Fourth Proportional to 6,618.52, 9,131.23 and 4,098

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Solution

The fourth proportional to 6,618.52, 9,131.23 and 4,098 is: 5,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.52 : 9,131.23 = 4,098 : x
  2. Step 2: Convert to fraction form
    6,618.52/9,131.23 = 4,098/x
  3. Step 3: Cross multiply
    6,618.52x = 9,131.23 × 4,098
  4. Step 4: Simplify right side
    6,618.52x = 37,419,780.54
  5. Step 5: Solve for x
    x = 37,419,780.54/6,618.52
  6. Step 6: Final answer
    x = 5,653.80

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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.