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Finding the Fourth Proportional to 1,841.97, 2,764.04 and 1,321.41

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Solution

The fourth proportional to 1,841.97, 2,764.04 and 1,321.41 is: 1,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.97 : 2,764.04 = 1,321.41 : x
  2. Step 2: Convert to fraction form
    1,841.97/2,764.04 = 1,321.41/x
  3. Step 3: Cross multiply
    1,841.97x = 2,764.04 × 1,321.41
  4. Step 4: Simplify right side
    1,841.97x = 3,652,423.49
  5. Step 5: Solve for x
    x = 3,652,423.49/1,841.97
  6. Step 6: Final answer
    x = 1,982.89

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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.