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Finding the Fourth Proportional to 3,500.82, 4,829.78 and 2,008.20

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Solution

The fourth proportional to 3,500.82, 4,829.78 and 2,008.20 is: 2,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.82 : 4,829.78 = 2,008.20 : x
  2. Step 2: Convert to fraction form
    3,500.82/4,829.78 = 2,008.20/x
  3. Step 3: Cross multiply
    3,500.82x = 4,829.78 × 2,008.20
  4. Step 4: Simplify right side
    3,500.82x = 9,699,164.20
  5. Step 5: Solve for x
    x = 9,699,164.20/3,500.82
  6. Step 6: Final answer
    x = 2,770.54

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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.