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Finding the Fourth Proportional to 20,163.88, 27,811.02 and 14,197.24

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Solution

The fourth proportional to 20,163.88, 27,811.02 and 14,197.24 is: 19,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.88 : 27,811.02 = 14,197.24 : x
  2. Step 2: Convert to fraction form
    20,163.88/27,811.02 = 14,197.24/x
  3. Step 3: Cross multiply
    20,163.88x = 27,811.02 × 14,197.24
  4. Step 4: Simplify right side
    20,163.88x = 394,839,725.58
  5. Step 5: Solve for x
    x = 394,839,725.58/20,163.88
  6. Step 6: Final answer
    x = 19,581.54

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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.