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Finding the Fourth Proportional to 11,891.45, 17,855.16 and 9,446.09

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Solution

The fourth proportional to 11,891.45, 17,855.16 and 9,446.09 is: 14,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.45 : 17,855.16 = 9,446.09 : x
  2. Step 2: Convert to fraction form
    11,891.45/17,855.16 = 9,446.09/x
  3. Step 3: Cross multiply
    11,891.45x = 17,855.16 × 9,446.09
  4. Step 4: Simplify right side
    11,891.45x = 168,661,448.32
  5. Step 5: Solve for x
    x = 168,661,448.32/11,891.45
  6. Step 6: Final answer
    x = 14,183.42

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1.5x scale

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.