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Finding the Fourth Proportional to 3,838.66, 5,759.82 and 1,989.43

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Solution

The fourth proportional to 3,838.66, 5,759.82 and 1,989.43 is: 2,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.66 : 5,759.82 = 1,989.43 : x
  2. Step 2: Convert to fraction form
    3,838.66/5,759.82 = 1,989.43/x
  3. Step 3: Cross multiply
    3,838.66x = 5,759.82 × 1,989.43
  4. Step 4: Simplify right side
    3,838.66x = 11,458,758.70
  5. Step 5: Solve for x
    x = 11,458,758.70/3,838.66
  6. Step 6: Final answer
    x = 2,985.09

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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.