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Finding the Fourth Proportional to 20,229.87, 30,344.81 and 7,086

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Solution

The fourth proportional to 20,229.87, 30,344.81 and 7,086 is: 10,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.87 : 30,344.81 = 7,086 : x
  2. Step 2: Convert to fraction form
    20,229.87/30,344.81 = 7,086/x
  3. Step 3: Cross multiply
    20,229.87x = 30,344.81 × 7,086
  4. Step 4: Simplify right side
    20,229.87x = 215,023,323.66
  5. Step 5: Solve for x
    x = 215,023,323.66/20,229.87
  6. Step 6: Final answer
    x = 10,629.00

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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.