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Finding the Fourth Proportional to 2,759.88, 3,806.82 and 1,974.36

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Solution

The fourth proportional to 2,759.88, 3,806.82 and 1,974.36 is: 2,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.88 : 3,806.82 = 1,974.36 : x
  2. Step 2: Convert to fraction form
    2,759.88/3,806.82 = 1,974.36/x
  3. Step 3: Cross multiply
    2,759.88x = 3,806.82 × 1,974.36
  4. Step 4: Simplify right side
    2,759.88x = 7,516,033.14
  5. Step 5: Solve for x
    x = 7,516,033.14/2,759.88
  6. Step 6: Final answer
    x = 2,723.32

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1.5x scale

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.