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Finding the Fourth Proportional to 1,855.98, 2,780.73 and 1,333.44

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Solution

The fourth proportional to 1,855.98, 2,780.73 and 1,333.44 is: 1,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.98 : 2,780.73 = 1,333.44 : x
  2. Step 2: Convert to fraction form
    1,855.98/2,780.73 = 1,333.44/x
  3. Step 3: Cross multiply
    1,855.98x = 2,780.73 × 1,333.44
  4. Step 4: Simplify right side
    1,855.98x = 3,707,936.61
  5. Step 5: Solve for x
    x = 3,707,936.61/1,855.98
  6. Step 6: Final answer
    x = 1,997.83

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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.