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Finding the Fourth Proportional to 8,171.28, 11,277 and 4,634.64

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Solution

The fourth proportional to 8,171.28, 11,277 and 4,634.64 is: 6,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.28 : 11,277 = 4,634.64 : x
  2. Step 2: Convert to fraction form
    8,171.28/11,277 = 4,634.64/x
  3. Step 3: Cross multiply
    8,171.28x = 11,277 × 4,634.64
  4. Step 4: Simplify right side
    8,171.28x = 52,264,835.28
  5. Step 5: Solve for x
    x = 52,264,835.28/8,171.28
  6. Step 6: Final answer
    x = 6,396.16

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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.