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Finding the Fourth Proportional to 2,083.68, 3,123.09 and 927

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Solution

The fourth proportional to 2,083.68, 3,123.09 and 927 is: 1,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.68 : 3,123.09 = 927 : x
  2. Step 2: Convert to fraction form
    2,083.68/3,123.09 = 927/x
  3. Step 3: Cross multiply
    2,083.68x = 3,123.09 × 927
  4. Step 4: Simplify right side
    2,083.68x = 2,895,104.43
  5. Step 5: Solve for x
    x = 2,895,104.43/2,083.68
  6. Step 6: Final answer
    x = 1,389.42

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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.