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Finding the Fourth Proportional to 20,933.78, 31,399.86 and 7,082.78

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Solution

The fourth proportional to 20,933.78, 31,399.86 and 7,082.78 is: 10,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,933.78 : 31,399.86 = 7,082.78 : x
  2. Step 2: Convert to fraction form
    20,933.78/31,399.86 = 7,082.78/x
  3. Step 3: Cross multiply
    20,933.78x = 31,399.86 × 7,082.78
  4. Step 4: Simplify right side
    20,933.78x = 222,398,300.41
  5. Step 5: Solve for x
    x = 222,398,300.41/20,933.78
  6. Step 6: Final answer
    x = 10,623.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.