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Finding the Fourth Proportional to 3,809, 5,715.66 and 1,757

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Solution

The fourth proportional to 3,809, 5,715.66 and 1,757 is: 2,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809 : 5,715.66 = 1,757 : x
  2. Step 2: Convert to fraction form
    3,809/5,715.66 = 1,757/x
  3. Step 3: Cross multiply
    3,809x = 5,715.66 × 1,757
  4. Step 4: Simplify right side
    3,809x = 10,042,414.62
  5. Step 5: Solve for x
    x = 10,042,414.62/3,809
  6. Step 6: Final answer
    x = 2,636.50

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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.