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Finding the Fourth Proportional to 7,082.84, 9,774.26 and 3,939

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Solution

The fourth proportional to 7,082.84, 9,774.26 and 3,939 is: 5,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.84 : 9,774.26 = 3,939 : x
  2. Step 2: Convert to fraction form
    7,082.84/9,774.26 = 3,939/x
  3. Step 3: Cross multiply
    7,082.84x = 9,774.26 × 3,939
  4. Step 4: Simplify right side
    7,082.84x = 38,500,810.14
  5. Step 5: Solve for x
    x = 38,500,810.14/7,082.84
  6. Step 6: Final answer
    x = 5,435.79

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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.