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Finding the Fourth Proportional to 8,381, 12,577.26 and 2,909

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Solution

The fourth proportional to 8,381, 12,577.26 and 2,909 is: 4,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381 : 12,577.26 = 2,909 : x
  2. Step 2: Convert to fraction form
    8,381/12,577.26 = 2,909/x
  3. Step 3: Cross multiply
    8,381x = 12,577.26 × 2,909
  4. Step 4: Simplify right side
    8,381x = 36,587,249.34
  5. Step 5: Solve for x
    x = 36,587,249.34/8,381
  6. Step 6: Final answer
    x = 4,365.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.