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Finding the Fourth Proportional to 1,819.80, 2,729.94 and 1,333.80

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Solution

The fourth proportional to 1,819.80, 2,729.94 and 1,333.80 is: 2,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.80 : 2,729.94 = 1,333.80 : x
  2. Step 2: Convert to fraction form
    1,819.80/2,729.94 = 1,333.80/x
  3. Step 3: Cross multiply
    1,819.80x = 2,729.94 × 1,333.80
  4. Step 4: Simplify right side
    1,819.80x = 3,641,193.97
  5. Step 5: Solve for x
    x = 3,641,193.97/1,819.80
  6. Step 6: Final answer
    x = 2,000.88

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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.