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Finding the Fourth Proportional to 18,661, 27,994.38 and 6,975.88

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Solution

The fourth proportional to 18,661, 27,994.38 and 6,975.88 is: 10,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661 : 27,994.38 = 6,975.88 : x
  2. Step 2: Convert to fraction form
    18,661/27,994.38 = 6,975.88/x
  3. Step 3: Cross multiply
    18,661x = 27,994.38 × 6,975.88
  4. Step 4: Simplify right side
    18,661x = 195,285,435.55
  5. Step 5: Solve for x
    x = 195,285,435.55/18,661
  6. Step 6: Final answer
    x = 10,464.90

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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.