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Finding the Fourth Proportional to 4,912.86, 7,362.29 and 3,657.77

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Solution

The fourth proportional to 4,912.86, 7,362.29 and 3,657.77 is: 5,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.86 : 7,362.29 = 3,657.77 : x
  2. Step 2: Convert to fraction form
    4,912.86/7,362.29 = 3,657.77/x
  3. Step 3: Cross multiply
    4,912.86x = 7,362.29 × 3,657.77
  4. Step 4: Simplify right side
    4,912.86x = 26,929,508.39
  5. Step 5: Solve for x
    x = 26,929,508.39/4,912.86
  6. Step 6: Final answer
    x = 5,481.43

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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.