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Finding the Fourth Proportional to 2,234.35, 3,082.41 and 1,571.64

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Solution

The fourth proportional to 2,234.35, 3,082.41 and 1,571.64 is: 2,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.35 : 3,082.41 = 1,571.64 : x
  2. Step 2: Convert to fraction form
    2,234.35/3,082.41 = 1,571.64/x
  3. Step 3: Cross multiply
    2,234.35x = 3,082.41 × 1,571.64
  4. Step 4: Simplify right side
    2,234.35x = 4,844,438.85
  5. Step 5: Solve for x
    x = 4,844,438.85/2,234.35
  6. Step 6: Final answer
    x = 2,168.16

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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.