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Finding the Fourth Proportional to 20,251.76, 30,377.63 and 7,604.42

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Solution

The fourth proportional to 20,251.76, 30,377.63 and 7,604.42 is: 11,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.76 : 30,377.63 = 7,604.42 : x
  2. Step 2: Convert to fraction form
    20,251.76/30,377.63 = 7,604.42/x
  3. Step 3: Cross multiply
    20,251.76x = 30,377.63 × 7,604.42
  4. Step 4: Simplify right side
    20,251.76x = 231,004,067.21
  5. Step 5: Solve for x
    x = 231,004,067.21/20,251.76
  6. Step 6: Final answer
    x = 11,406.62

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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.