Home / 1,976.84-2,961.75-1,154.42

Finding the Fourth Proportional to 1,976.84, 2,961.75 and 1,154.42

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Solution

The fourth proportional to 1,976.84, 2,961.75 and 1,154.42 is: 1,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.84 : 2,961.75 = 1,154.42 : x
  2. Step 2: Convert to fraction form
    1,976.84/2,961.75 = 1,154.42/x
  3. Step 3: Cross multiply
    1,976.84x = 2,961.75 × 1,154.42
  4. Step 4: Simplify right side
    1,976.84x = 3,419,103.44
  5. Step 5: Solve for x
    x = 3,419,103.44/1,976.84
  6. Step 6: Final answer
    x = 1,729.58

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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.