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Finding the Fourth Proportional to 4,902.73, 6,764.11 and 2,778.03

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Solution

The fourth proportional to 4,902.73, 6,764.11 and 2,778.03 is: 3,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.73 : 6,764.11 = 2,778.03 : x
  2. Step 2: Convert to fraction form
    4,902.73/6,764.11 = 2,778.03/x
  3. Step 3: Cross multiply
    4,902.73x = 6,764.11 × 2,778.03
  4. Step 4: Simplify right side
    4,902.73x = 18,790,893.56
  5. Step 5: Solve for x
    x = 18,790,893.56/4,902.73
  6. Step 6: Final answer
    x = 3,832.74

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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.