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Finding the Fourth Proportional to 5,647.20, 7,795.89 and 3,759.90

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Solution

The fourth proportional to 5,647.20, 7,795.89 and 3,759.90 is: 5,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.20 : 7,795.89 = 3,759.90 : x
  2. Step 2: Convert to fraction form
    5,647.20/7,795.89 = 3,759.90/x
  3. Step 3: Cross multiply
    5,647.20x = 7,795.89 × 3,759.90
  4. Step 4: Simplify right side
    5,647.20x = 29,311,766.81
  5. Step 5: Solve for x
    x = 29,311,766.81/5,647.20
  6. Step 6: Final answer
    x = 5,190.50

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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.