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Finding the Fourth Proportional to 3,082.56, 4,627.72 and 2,473.84

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Solution

The fourth proportional to 3,082.56, 4,627.72 and 2,473.84 is: 3,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.56 : 4,627.72 = 2,473.84 : x
  2. Step 2: Convert to fraction form
    3,082.56/4,627.72 = 2,473.84/x
  3. Step 3: Cross multiply
    3,082.56x = 4,627.72 × 2,473.84
  4. Step 4: Simplify right side
    3,082.56x = 11,448,238.84
  5. Step 5: Solve for x
    x = 11,448,238.84/3,082.56
  6. Step 6: Final answer
    x = 3,713.87

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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.