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Finding the Fourth Proportional to 4,994.80, 7,480.52 and 3,947.78

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Solution

The fourth proportional to 4,994.80, 7,480.52 and 3,947.78 is: 5,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.80 : 7,480.52 = 3,947.78 : x
  2. Step 2: Convert to fraction form
    4,994.80/7,480.52 = 3,947.78/x
  3. Step 3: Cross multiply
    4,994.80x = 7,480.52 × 3,947.78
  4. Step 4: Simplify right side
    4,994.80x = 29,531,409.84
  5. Step 5: Solve for x
    x = 29,531,409.84/4,994.80
  6. Step 6: Final answer
    x = 5,912.43

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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.