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Finding the Fourth Proportional to 3,689.67, 5,535.39 and 1,092.62

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Solution

The fourth proportional to 3,689.67, 5,535.39 and 1,092.62 is: 1,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.67 : 5,535.39 = 1,092.62 : x
  2. Step 2: Convert to fraction form
    3,689.67/5,535.39 = 1,092.62/x
  3. Step 3: Cross multiply
    3,689.67x = 5,535.39 × 1,092.62
  4. Step 4: Simplify right side
    3,689.67x = 6,048,077.82
  5. Step 5: Solve for x
    x = 6,048,077.82/3,689.67
  6. Step 6: Final answer
    x = 1,639.19

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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.