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Finding the Fourth Proportional to 1,837.60, 2,757.77 and 864.38

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Solution

The fourth proportional to 1,837.60, 2,757.77 and 864.38 is: 1,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.60 : 2,757.77 = 864.38 : x
  2. Step 2: Convert to fraction form
    1,837.60/2,757.77 = 864.38/x
  3. Step 3: Cross multiply
    1,837.60x = 2,757.77 × 864.38
  4. Step 4: Simplify right side
    1,837.60x = 2,383,767.05
  5. Step 5: Solve for x
    x = 2,383,767.05/1,837.60
  6. Step 6: Final answer
    x = 1,297.22

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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.