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Finding the Fourth Proportional to 3,839.80, 5,759.70 and 3,677.80

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Solution

The fourth proportional to 3,839.80, 5,759.70 and 3,677.80 is: 5,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.80 : 5,759.70 = 3,677.80 : x
  2. Step 2: Convert to fraction form
    3,839.80/5,759.70 = 3,677.80/x
  3. Step 3: Cross multiply
    3,839.80x = 5,759.70 × 3,677.80
  4. Step 4: Simplify right side
    3,839.80x = 21,183,024.66
  5. Step 5: Solve for x
    x = 21,183,024.66/3,839.80
  6. Step 6: Final answer
    x = 5,516.70

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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.