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Finding the Fourth Proportional to 2,054.62, 3,082.20 and 1,080.78

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Solution

The fourth proportional to 2,054.62, 3,082.20 and 1,080.78 is: 1,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.62 : 3,082.20 = 1,080.78 : x
  2. Step 2: Convert to fraction form
    2,054.62/3,082.20 = 1,080.78/x
  3. Step 3: Cross multiply
    2,054.62x = 3,082.20 × 1,080.78
  4. Step 4: Simplify right side
    2,054.62x = 3,331,180.12
  5. Step 5: Solve for x
    x = 3,331,180.12/2,054.62
  6. Step 6: Final answer
    x = 1,621.31

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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.