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Finding the Fourth Proportional to 20,105.97, 30,159.04 and 8,410.99

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Solution

The fourth proportional to 20,105.97, 30,159.04 and 8,410.99 is: 12,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.97 : 30,159.04 = 8,410.99 : x
  2. Step 2: Convert to fraction form
    20,105.97/30,159.04 = 8,410.99/x
  3. Step 3: Cross multiply
    20,105.97x = 30,159.04 × 8,410.99
  4. Step 4: Simplify right side
    20,105.97x = 253,667,383.85
  5. Step 5: Solve for x
    x = 253,667,383.85/20,105.97
  6. Step 6: Final answer
    x = 12,616.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.