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Finding the Fourth Proportional to 18,661.85, 27,996.72 and 6,181.16

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Solution

The fourth proportional to 18,661.85, 27,996.72 and 6,181.16 is: 9,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.85 : 27,996.72 = 6,181.16 : x
  2. Step 2: Convert to fraction form
    18,661.85/27,996.72 = 6,181.16/x
  3. Step 3: Cross multiply
    18,661.85x = 27,996.72 × 6,181.16
  4. Step 4: Simplify right side
    18,661.85x = 173,052,252.61
  5. Step 5: Solve for x
    x = 173,052,252.61/18,661.85
  6. Step 6: Final answer
    x = 9,273.05

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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.