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Finding the Fourth Proportional to 3,689.87, 5,531.34 and 1,349.33

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Solution

The fourth proportional to 3,689.87, 5,531.34 and 1,349.33 is: 2,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.87 : 5,531.34 = 1,349.33 : x
  2. Step 2: Convert to fraction form
    3,689.87/5,531.34 = 1,349.33/x
  3. Step 3: Cross multiply
    3,689.87x = 5,531.34 × 1,349.33
  4. Step 4: Simplify right side
    3,689.87x = 7,463,603.00
  5. Step 5: Solve for x
    x = 7,463,603.00/3,689.87
  6. Step 6: Final answer
    x = 2,022.73

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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.