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Finding the Fourth Proportional to 8,177, 11,284.26 and 4,451

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Solution

The fourth proportional to 8,177, 11,284.26 and 4,451 is: 6,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177 : 11,284.26 = 4,451 : x
  2. Step 2: Convert to fraction form
    8,177/11,284.26 = 4,451/x
  3. Step 3: Cross multiply
    8,177x = 11,284.26 × 4,451
  4. Step 4: Simplify right side
    8,177x = 50,226,241.26
  5. Step 5: Solve for x
    x = 50,226,241.26/8,177
  6. Step 6: Final answer
    x = 6,142.38

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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.