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Finding the Fourth Proportional to 7,082.75, 9,774.80 and 3,939.55

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Solution

The fourth proportional to 7,082.75, 9,774.80 and 3,939.55 is: 5,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.75 : 9,774.80 = 3,939.55 : x
  2. Step 2: Convert to fraction form
    7,082.75/9,774.80 = 3,939.55/x
  3. Step 3: Cross multiply
    7,082.75x = 9,774.80 × 3,939.55
  4. Step 4: Simplify right side
    7,082.75x = 38,508,313.34
  5. Step 5: Solve for x
    x = 38,508,313.34/7,082.75
  6. Step 6: Final answer
    x = 5,436.92

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1.5x scale

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.