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Finding the Fourth Proportional to 19,708.80, 27,198.72 and 11,328

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Solution

The fourth proportional to 19,708.80, 27,198.72 and 11,328 is: 15,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.80 : 27,198.72 = 11,328 : x
  2. Step 2: Convert to fraction form
    19,708.80/27,198.72 = 11,328/x
  3. Step 3: Cross multiply
    19,708.80x = 27,198.72 × 11,328
  4. Step 4: Simplify right side
    19,708.80x = 308,107,100.16
  5. Step 5: Solve for x
    x = 308,107,100.16/19,708.80
  6. Step 6: Final answer
    x = 15,632.97

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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.