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Finding the Fourth Proportional to 20,211.82, 30,304.02 and 7,057

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Solution

The fourth proportional to 20,211.82, 30,304.02 and 7,057 is: 10,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.82 : 30,304.02 = 7,057 : x
  2. Step 2: Convert to fraction form
    20,211.82/30,304.02 = 7,057/x
  3. Step 3: Cross multiply
    20,211.82x = 30,304.02 × 7,057
  4. Step 4: Simplify right side
    20,211.82x = 213,855,469.14
  5. Step 5: Solve for x
    x = 213,855,469.14/20,211.82
  6. Step 6: Final answer
    x = 10,580.71

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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.