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Finding the Fourth Proportional to 7,082.76, 9,774.20 and 3,939.54

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Solution

The fourth proportional to 7,082.76, 9,774.20 and 3,939.54 is: 5,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.76 : 9,774.20 = 3,939.54 : x
  2. Step 2: Convert to fraction form
    7,082.76/9,774.20 = 3,939.54/x
  3. Step 3: Cross multiply
    7,082.76x = 9,774.20 × 3,939.54
  4. Step 4: Simplify right side
    7,082.76x = 38,505,851.87
  5. Step 5: Solve for x
    x = 38,505,851.87/7,082.76
  6. Step 6: Final answer
    x = 5,436.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.