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Finding the Fourth Proportional to 6,728.32, 9,286.56 and 3,897.64

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Solution

The fourth proportional to 6,728.32, 9,286.56 and 3,897.64 is: 5,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.32 : 9,286.56 = 3,897.64 : x
  2. Step 2: Convert to fraction form
    6,728.32/9,286.56 = 3,897.64/x
  3. Step 3: Cross multiply
    6,728.32x = 9,286.56 × 3,897.64
  4. Step 4: Simplify right side
    6,728.32x = 36,195,667.72
  5. Step 5: Solve for x
    x = 36,195,667.72/6,728.32
  6. Step 6: Final answer
    x = 5,379.60

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1.5x scale

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.