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Finding the Fourth Proportional to 20,297.84, 30,449.79 and 7,147.89

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Solution

The fourth proportional to 20,297.84, 30,449.79 and 7,147.89 is: 10,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.84 : 30,449.79 = 7,147.89 : x
  2. Step 2: Convert to fraction form
    20,297.84/30,449.79 = 7,147.89/x
  3. Step 3: Cross multiply
    20,297.84x = 30,449.79 × 7,147.89
  4. Step 4: Simplify right side
    20,297.84x = 217,651,749.44
  5. Step 5: Solve for x
    x = 217,651,749.44/20,297.84
  6. Step 6: Final answer
    x = 10,722.90

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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.