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Finding the Fourth Proportional to 20,279.54, 27,983.84 and 11,894.42

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Solution

The fourth proportional to 20,279.54, 27,983.84 and 11,894.42 is: 16,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,279.54 : 27,983.84 = 11,894.42 : x
  2. Step 2: Convert to fraction form
    20,279.54/27,983.84 = 11,894.42/x
  3. Step 3: Cross multiply
    20,279.54x = 27,983.84 × 11,894.42
  4. Step 4: Simplify right side
    20,279.54x = 332,851,546.17
  5. Step 5: Solve for x
    x = 332,851,546.17/20,279.54
  6. Step 6: Final answer
    x = 16,413.17

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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.