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Finding the Fourth Proportional to 20,622, 30,935.43 and 6,771

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Solution

The fourth proportional to 20,622, 30,935.43 and 6,771 is: 10,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 30,935.43 = 6,771 : x
  2. Step 2: Convert to fraction form
    20,622/30,935.43 = 6,771/x
  3. Step 3: Cross multiply
    20,622x = 30,935.43 × 6,771
  4. Step 4: Simplify right side
    20,622x = 209,463,796.53
  5. Step 5: Solve for x
    x = 209,463,796.53/20,622
  6. Step 6: Final answer
    x = 10,157.30

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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.