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Finding the Fourth Proportional to 2,843.31, 3,922.66 and 1,780.64

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Solution

The fourth proportional to 2,843.31, 3,922.66 and 1,780.64 is: 2,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.31 : 3,922.66 = 1,780.64 : x
  2. Step 2: Convert to fraction form
    2,843.31/3,922.66 = 1,780.64/x
  3. Step 3: Cross multiply
    2,843.31x = 3,922.66 × 1,780.64
  4. Step 4: Simplify right side
    2,843.31x = 6,984,845.30
  5. Step 5: Solve for x
    x = 6,984,845.30/2,843.31
  6. Step 6: Final answer
    x = 2,456.59

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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.