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Finding the Fourth Proportional to 20,274.11, 27,978 and 11,321.77

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Solution

The fourth proportional to 20,274.11, 27,978 and 11,321.77 is: 15,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.11 : 27,978 = 11,321.77 : x
  2. Step 2: Convert to fraction form
    20,274.11/27,978 = 11,321.77/x
  3. Step 3: Cross multiply
    20,274.11x = 27,978 × 11,321.77
  4. Step 4: Simplify right side
    20,274.11x = 316,760,481.06
  5. Step 5: Solve for x
    x = 316,760,481.06/20,274.11
  6. Step 6: Final answer
    x = 15,623.89

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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.