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Finding the Fourth Proportional to 2,561.12, 3,841.82 and 829.88

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Solution

The fourth proportional to 2,561.12, 3,841.82 and 829.88 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.12 : 3,841.82 = 829.88 : x
  2. Step 2: Convert to fraction form
    2,561.12/3,841.82 = 829.88/x
  3. Step 3: Cross multiply
    2,561.12x = 3,841.82 × 829.88
  4. Step 4: Simplify right side
    2,561.12x = 3,188,249.58
  5. Step 5: Solve for x
    x = 3,188,249.58/2,561.12
  6. Step 6: Final answer
    x = 1,244.87

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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.