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Finding the Fourth Proportional to 3,355.80, 5,032.80 and 1,382.82

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Solution

The fourth proportional to 3,355.80, 5,032.80 and 1,382.82 is: 2,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.80 : 5,032.80 = 1,382.82 : x
  2. Step 2: Convert to fraction form
    3,355.80/5,032.80 = 1,382.82/x
  3. Step 3: Cross multiply
    3,355.80x = 5,032.80 × 1,382.82
  4. Step 4: Simplify right side
    3,355.80x = 6,959,456.50
  5. Step 5: Solve for x
    x = 6,959,456.50/3,355.80
  6. Step 6: Final answer
    x = 2,073.86

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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.