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Finding the Fourth Proportional to 20,224, 27,909.12 and 11,392

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Solution

The fourth proportional to 20,224, 27,909.12 and 11,392 is: 15,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 27,909.12 = 11,392 : x
  2. Step 2: Convert to fraction form
    20,224/27,909.12 = 11,392/x
  3. Step 3: Cross multiply
    20,224x = 27,909.12 × 11,392
  4. Step 4: Simplify right side
    20,224x = 317,940,695.04
  5. Step 5: Solve for x
    x = 317,940,695.04/20,224
  6. Step 6: Final answer
    x = 15,720.96

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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.