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Finding the Fourth Proportional to 20,411.87, 30,609.09 and 7,759.46

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Solution

The fourth proportional to 20,411.87, 30,609.09 and 7,759.46 is: 11,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.87 : 30,609.09 = 7,759.46 : x
  2. Step 2: Convert to fraction form
    20,411.87/30,609.09 = 7,759.46/x
  3. Step 3: Cross multiply
    20,411.87x = 30,609.09 × 7,759.46
  4. Step 4: Simplify right side
    20,411.87x = 237,510,086.01
  5. Step 5: Solve for x
    x = 237,510,086.01/20,411.87
  6. Step 6: Final answer
    x = 11,635.88

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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.