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Finding the Fourth Proportional to 3,082.32, 4,249.80 and 2,252.88

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Solution

The fourth proportional to 3,082.32, 4,249.80 and 2,252.88 is: 3,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.32 : 4,249.80 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    3,082.32/4,249.80 = 2,252.88/x
  3. Step 3: Cross multiply
    3,082.32x = 4,249.80 × 2,252.88
  4. Step 4: Simplify right side
    3,082.32x = 9,574,289.42
  5. Step 5: Solve for x
    x = 9,574,289.42/3,082.32
  6. Step 6: Final answer
    x = 3,106.20

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