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Finding the Fourth Proportional to 4,620.98, 6,938.39 and 3,693.80

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Solution

The fourth proportional to 4,620.98, 6,938.39 and 3,693.80 is: 5,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.98 : 6,938.39 = 3,693.80 : x
  2. Step 2: Convert to fraction form
    4,620.98/6,938.39 = 3,693.80/x
  3. Step 3: Cross multiply
    4,620.98x = 6,938.39 × 3,693.80
  4. Step 4: Simplify right side
    4,620.98x = 25,629,051.56
  5. Step 5: Solve for x
    x = 25,629,051.56/4,620.98
  6. Step 6: Final answer
    x = 5,546.23

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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.