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Finding the Fourth Proportional to 6,690.72, 9,231.84 and 3,857.60

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Solution

The fourth proportional to 6,690.72, 9,231.84 and 3,857.60 is: 5,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.72 : 9,231.84 = 3,857.60 : x
  2. Step 2: Convert to fraction form
    6,690.72/9,231.84 = 3,857.60/x
  3. Step 3: Cross multiply
    6,690.72x = 9,231.84 × 3,857.60
  4. Step 4: Simplify right side
    6,690.72x = 35,612,745.98
  5. Step 5: Solve for x
    x = 35,612,745.98/6,690.72
  6. Step 6: Final answer
    x = 5,322.71

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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.