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Finding the Fourth Proportional to 11,635.39, 17,446.47 and 7,942.09

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Solution

The fourth proportional to 11,635.39, 17,446.47 and 7,942.09 is: 11,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.39 : 17,446.47 = 7,942.09 : x
  2. Step 2: Convert to fraction form
    11,635.39/17,446.47 = 7,942.09/x
  3. Step 3: Cross multiply
    11,635.39x = 17,446.47 × 7,942.09
  4. Step 4: Simplify right side
    11,635.39x = 138,561,434.92
  5. Step 5: Solve for x
    x = 138,561,434.92/11,635.39
  6. Step 6: Final answer
    x = 11,908.62

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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.