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Finding the Fourth Proportional to 6,728.96, 9,286.40 and 4,494.58

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Solution

The fourth proportional to 6,728.96, 9,286.40 and 4,494.58 is: 6,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.96 : 9,286.40 = 4,494.58 : x
  2. Step 2: Convert to fraction form
    6,728.96/9,286.40 = 4,494.58/x
  3. Step 3: Cross multiply
    6,728.96x = 9,286.40 × 4,494.58
  4. Step 4: Simplify right side
    6,728.96x = 41,738,467.71
  5. Step 5: Solve for x
    x = 41,738,467.71/6,728.96
  6. Step 6: Final answer
    x = 6,202.81

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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.