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Finding the Fourth Proportional to 6,171.75, 8,517.15 and 5,700.87

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Solution

The fourth proportional to 6,171.75, 8,517.15 and 5,700.87 is: 7,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.75 : 8,517.15 = 5,700.87 : x
  2. Step 2: Convert to fraction form
    6,171.75/8,517.15 = 5,700.87/x
  3. Step 3: Cross multiply
    6,171.75x = 8,517.15 × 5,700.87
  4. Step 4: Simplify right side
    6,171.75x = 48,555,164.92
  5. Step 5: Solve for x
    x = 48,555,164.92/6,171.75
  6. Step 6: Final answer
    x = 7,867.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.