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Finding the Fourth Proportional to 4,912.74, 6,778.03 and 2,788.11

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Solution

The fourth proportional to 4,912.74, 6,778.03 and 2,788.11 is: 3,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.74 : 6,778.03 = 2,788.11 : x
  2. Step 2: Convert to fraction form
    4,912.74/6,778.03 = 2,788.11/x
  3. Step 3: Cross multiply
    4,912.74x = 6,778.03 × 2,788.11
  4. Step 4: Simplify right side
    4,912.74x = 18,897,893.22
  5. Step 5: Solve for x
    x = 18,897,893.22/4,912.74
  6. Step 6: Final answer
    x = 3,846.71

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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.