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Finding the Fourth Proportional to 2,682.20, 4,023.60 and 832.88

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Solution

The fourth proportional to 2,682.20, 4,023.60 and 832.88 is: 1,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.20 : 4,023.60 = 832.88 : x
  2. Step 2: Convert to fraction form
    2,682.20/4,023.60 = 832.88/x
  3. Step 3: Cross multiply
    2,682.20x = 4,023.60 × 832.88
  4. Step 4: Simplify right side
    2,682.20x = 3,351,175.97
  5. Step 5: Solve for x
    x = 3,351,175.97/2,682.20
  6. Step 6: Final answer
    x = 1,249.41

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1.5x scale

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.