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Finding the Fourth Proportional to 3,387.82, 5,081.62 and 922.56

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Solution

The fourth proportional to 3,387.82, 5,081.62 and 922.56 is: 1,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.82 : 5,081.62 = 922.56 : x
  2. Step 2: Convert to fraction form
    3,387.82/5,081.62 = 922.56/x
  3. Step 3: Cross multiply
    3,387.82x = 5,081.62 × 922.56
  4. Step 4: Simplify right side
    3,387.82x = 4,688,073.94
  5. Step 5: Solve for x
    x = 4,688,073.94/3,387.82
  6. Step 6: Final answer
    x = 1,383.80

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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.