Home / 2,082.10-2,873.52-1,198

Finding the Fourth Proportional to 2,082.10, 2,873.52 and 1,198

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Solution

The fourth proportional to 2,082.10, 2,873.52 and 1,198 is: 1,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.10 : 2,873.52 = 1,198 : x
  2. Step 2: Convert to fraction form
    2,082.10/2,873.52 = 1,198/x
  3. Step 3: Cross multiply
    2,082.10x = 2,873.52 × 1,198
  4. Step 4: Simplify right side
    2,082.10x = 3,442,476.96
  5. Step 5: Solve for x
    x = 3,442,476.96/2,082.10
  6. Step 6: Final answer
    x = 1,653.37

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Why These Related Problems?

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