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Finding the Fourth Proportional to 6,410.85, 8,847 and 3,759.81

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Solution

The fourth proportional to 6,410.85, 8,847 and 3,759.81 is: 5,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.85 : 8,847 = 3,759.81 : x
  2. Step 2: Convert to fraction form
    6,410.85/8,847 = 3,759.81/x
  3. Step 3: Cross multiply
    6,410.85x = 8,847 × 3,759.81
  4. Step 4: Simplify right side
    6,410.85x = 33,263,039.07
  5. Step 5: Solve for x
    x = 33,263,039.07/6,410.85
  6. Step 6: Final answer
    x = 5,188.55

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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.