Home / 3,847-5,766.52-1,657.12

Finding the Fourth Proportional to 3,847, 5,766.52 and 1,657.12

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Solution

The fourth proportional to 3,847, 5,766.52 and 1,657.12 is: 2,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,766.52 = 1,657.12 : x
  2. Step 2: Convert to fraction form
    3,847/5,766.52 = 1,657.12/x
  3. Step 3: Cross multiply
    3,847x = 5,766.52 × 1,657.12
  4. Step 4: Simplify right side
    3,847x = 9,555,815.62
  5. Step 5: Solve for x
    x = 9,555,815.62/3,847
  6. Step 6: Final answer
    x = 2,483.97

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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.