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Finding the Fourth Proportional to 4,082.72, 5,634.16 and 2,219.72

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Solution

The fourth proportional to 4,082.72, 5,634.16 and 2,219.72 is: 3,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.72 : 5,634.16 = 2,219.72 : x
  2. Step 2: Convert to fraction form
    4,082.72/5,634.16 = 2,219.72/x
  3. Step 3: Cross multiply
    4,082.72x = 5,634.16 × 2,219.72
  4. Step 4: Simplify right side
    4,082.72x = 12,506,257.64
  5. Step 5: Solve for x
    x = 12,506,257.64/4,082.72
  6. Step 6: Final answer
    x = 3,063.22

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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.