Home / 2,082.12-2,874-1,338.06

Finding the Fourth Proportional to 2,082.12, 2,874 and 1,338.06

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Solution

The fourth proportional to 2,082.12, 2,874 and 1,338.06 is: 1,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.12 : 2,874 = 1,338.06 : x
  2. Step 2: Convert to fraction form
    2,082.12/2,874 = 1,338.06/x
  3. Step 3: Cross multiply
    2,082.12x = 2,874 × 1,338.06
  4. Step 4: Simplify right side
    2,082.12x = 3,845,584.44
  5. Step 5: Solve for x
    x = 3,845,584.44/2,082.12
  6. Step 6: Final answer
    x = 1,846.96

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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.