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Finding the Fourth Proportional to 19,704.24, 27,189 and 11,319.12

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Solution

The fourth proportional to 19,704.24, 27,189 and 11,319.12 is: 15,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.24 : 27,189 = 11,319.12 : x
  2. Step 2: Convert to fraction form
    19,704.24/27,189 = 11,319.12/x
  3. Step 3: Cross multiply
    19,704.24x = 27,189 × 11,319.12
  4. Step 4: Simplify right side
    19,704.24x = 307,755,553.68
  5. Step 5: Solve for x
    x = 307,755,553.68/19,704.24
  6. Step 6: Final answer
    x = 15,618.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.