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Finding the Fourth Proportional to 6,314.81, 8,716.34 and 3,662.87

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Solution

The fourth proportional to 6,314.81, 8,716.34 and 3,662.87 is: 5,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.81 : 8,716.34 = 3,662.87 : x
  2. Step 2: Convert to fraction form
    6,314.81/8,716.34 = 3,662.87/x
  3. Step 3: Cross multiply
    6,314.81x = 8,716.34 × 3,662.87
  4. Step 4: Simplify right side
    6,314.81x = 31,926,785.87
  5. Step 5: Solve for x
    x = 31,926,785.87/6,314.81
  6. Step 6: Final answer
    x = 5,055.86

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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.