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Finding the Fourth Proportional to 1,855.96, 2,781.51 and 759.73

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Solution

The fourth proportional to 1,855.96, 2,781.51 and 759.73 is: 1,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.96 : 2,781.51 = 759.73 : x
  2. Step 2: Convert to fraction form
    1,855.96/2,781.51 = 759.73/x
  3. Step 3: Cross multiply
    1,855.96x = 2,781.51 × 759.73
  4. Step 4: Simplify right side
    1,855.96x = 2,113,198.42
  5. Step 5: Solve for x
    x = 2,113,198.42/1,855.96
  6. Step 6: Final answer
    x = 1,138.60

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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.