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Finding the Fourth Proportional to 7,082.82, 9,774 and 3,939.30

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Solution

The fourth proportional to 7,082.82, 9,774 and 3,939.30 is: 5,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.82 : 9,774 = 3,939.30 : x
  2. Step 2: Convert to fraction form
    7,082.82/9,774 = 3,939.30/x
  3. Step 3: Cross multiply
    7,082.82x = 9,774 × 3,939.30
  4. Step 4: Simplify right side
    7,082.82x = 38,502,718.20
  5. Step 5: Solve for x
    x = 38,502,718.20/7,082.82
  6. Step 6: Final answer
    x = 5,436.07

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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.