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Finding the Fourth Proportional to 1,837.93, 2,757.62 and 684.49

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Solution

The fourth proportional to 1,837.93, 2,757.62 and 684.49 is: 1,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.93 : 2,757.62 = 684.49 : x
  2. Step 2: Convert to fraction form
    1,837.93/2,757.62 = 684.49/x
  3. Step 3: Cross multiply
    1,837.93x = 2,757.62 × 684.49
  4. Step 4: Simplify right side
    1,837.93x = 1,887,563.31
  5. Step 5: Solve for x
    x = 1,887,563.31/1,837.93
  6. Step 6: Final answer
    x = 1,027.01

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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.