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Finding the Fourth Proportional to 8,197.60, 11,313.36 and 4,661.92

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Solution

The fourth proportional to 8,197.60, 11,313.36 and 4,661.92 is: 6,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.60 : 11,313.36 = 4,661.92 : x
  2. Step 2: Convert to fraction form
    8,197.60/11,313.36 = 4,661.92/x
  3. Step 3: Cross multiply
    8,197.60x = 11,313.36 × 4,661.92
  4. Step 4: Simplify right side
    8,197.60x = 52,741,979.25
  5. Step 5: Solve for x
    x = 52,741,979.25/8,197.60
  6. Step 6: Final answer
    x = 6,433.83

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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.