Home / 1,974.26-2,961.35-1,142.57

Finding the Fourth Proportional to 1,974.26, 2,961.35 and 1,142.57

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Solution

The fourth proportional to 1,974.26, 2,961.35 and 1,142.57 is: 1,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.26 : 2,961.35 = 1,142.57 : x
  2. Step 2: Convert to fraction form
    1,974.26/2,961.35 = 1,142.57/x
  3. Step 3: Cross multiply
    1,974.26x = 2,961.35 × 1,142.57
  4. Step 4: Simplify right side
    1,974.26x = 3,383,549.67
  5. Step 5: Solve for x
    x = 3,383,549.67/1,974.26
  6. Step 6: Final answer
    x = 1,713.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.