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Finding the Fourth Proportional to 6,527.85, 9,791.77 and 3,947.19

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Solution

The fourth proportional to 6,527.85, 9,791.77 and 3,947.19 is: 5,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.85 : 9,791.77 = 3,947.19 : x
  2. Step 2: Convert to fraction form
    6,527.85/9,791.77 = 3,947.19/x
  3. Step 3: Cross multiply
    6,527.85x = 9,791.77 × 3,947.19
  4. Step 4: Simplify right side
    6,527.85x = 38,649,976.63
  5. Step 5: Solve for x
    x = 38,649,976.63/6,527.85
  6. Step 6: Final answer
    x = 5,920.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.