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Finding the Fourth Proportional to 2,843.26, 3,922.80 and 1,647.86

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Solution

The fourth proportional to 2,843.26, 3,922.80 and 1,647.86 is: 2,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.26 : 3,922.80 = 1,647.86 : x
  2. Step 2: Convert to fraction form
    2,843.26/3,922.80 = 1,647.86/x
  3. Step 3: Cross multiply
    2,843.26x = 3,922.80 × 1,647.86
  4. Step 4: Simplify right side
    2,843.26x = 6,464,225.21
  5. Step 5: Solve for x
    x = 6,464,225.21/2,843.26
  6. Step 6: Final answer
    x = 2,273.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.