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Finding the Fourth Proportional to 18,661.80, 27,996.65 and 6,181.12

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Solution

The fourth proportional to 18,661.80, 27,996.65 and 6,181.12 is: 9,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.80 : 27,996.65 = 6,181.12 : x
  2. Step 2: Convert to fraction form
    18,661.80/27,996.65 = 6,181.12/x
  3. Step 3: Cross multiply
    18,661.80x = 27,996.65 × 6,181.12
  4. Step 4: Simplify right side
    18,661.80x = 173,050,505.65
  5. Step 5: Solve for x
    x = 173,050,505.65/18,661.80
  6. Step 6: Final answer
    x = 9,272.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.