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Finding the Fourth Proportional to 20,297.86, 30,446.11 and 7,149.89

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Solution

The fourth proportional to 20,297.86, 30,446.11 and 7,149.89 is: 10,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.86 : 30,446.11 = 7,149.89 : x
  2. Step 2: Convert to fraction form
    20,297.86/30,446.11 = 7,149.89/x
  3. Step 3: Cross multiply
    20,297.86x = 30,446.11 × 7,149.89
  4. Step 4: Simplify right side
    20,297.86x = 217,686,319.55
  5. Step 5: Solve for x
    x = 217,686,319.55/20,297.86
  6. Step 6: Final answer
    x = 10,724.59

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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.