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Finding the Fourth Proportional to 2,314.78, 3,471.81 and 1,082.08

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Solution

The fourth proportional to 2,314.78, 3,471.81 and 1,082.08 is: 1,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.78 : 3,471.81 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    2,314.78/3,471.81 = 1,082.08/x
  3. Step 3: Cross multiply
    2,314.78x = 3,471.81 × 1,082.08
  4. Step 4: Simplify right side
    2,314.78x = 3,756,763.00
  5. Step 5: Solve for x
    x = 3,756,763.00/2,314.78
  6. Step 6: Final answer
    x = 1,622.95

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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.