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Finding the Fourth Proportional to 20,671.80, 30,996.18 and 7,524.60

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Solution

The fourth proportional to 20,671.80, 30,996.18 and 7,524.60 is: 11,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.80 : 30,996.18 = 7,524.60 : x
  2. Step 2: Convert to fraction form
    20,671.80/30,996.18 = 7,524.60/x
  3. Step 3: Cross multiply
    20,671.80x = 30,996.18 × 7,524.60
  4. Step 4: Simplify right side
    20,671.80x = 233,233,856.03
  5. Step 5: Solve for x
    x = 233,233,856.03/20,671.80
  6. Step 6: Final answer
    x = 11,282.71

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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.