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Finding the Fourth Proportional to 2,382.80, 3,572.96 and 922.38

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Solution

The fourth proportional to 2,382.80, 3,572.96 and 922.38 is: 1,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.80 : 3,572.96 = 922.38 : x
  2. Step 2: Convert to fraction form
    2,382.80/3,572.96 = 922.38/x
  3. Step 3: Cross multiply
    2,382.80x = 3,572.96 × 922.38
  4. Step 4: Simplify right side
    2,382.80x = 3,295,626.84
  5. Step 5: Solve for x
    x = 3,295,626.84/2,382.80
  6. Step 6: Final answer
    x = 1,383.09

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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.