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Finding the Fourth Proportional to 18,605.08, 27,910.32 and 9,837.64

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Solution

The fourth proportional to 18,605.08, 27,910.32 and 9,837.64 is: 14,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605.08 : 27,910.32 = 9,837.64 : x
  2. Step 2: Convert to fraction form
    18,605.08/27,910.32 = 9,837.64/x
  3. Step 3: Cross multiply
    18,605.08x = 27,910.32 × 9,837.64
  4. Step 4: Simplify right side
    18,605.08x = 274,571,680.44
  5. Step 5: Solve for x
    x = 274,571,680.44/18,605.08
  6. Step 6: Final answer
    x = 14,757.89

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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.