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Finding the Fourth Proportional to 8,129.72, 12,194.58 and 2,936

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Solution

The fourth proportional to 8,129.72, 12,194.58 and 2,936 is: 4,404

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.72 : 12,194.58 = 2,936 : x
  2. Step 2: Convert to fraction form
    8,129.72/12,194.58 = 2,936/x
  3. Step 3: Cross multiply
    8,129.72x = 12,194.58 × 2,936
  4. Step 4: Simplify right side
    8,129.72x = 35,803,286.88
  5. Step 5: Solve for x
    x = 35,803,286.88/8,129.72
  6. Step 6: Final answer
    x = 4,404

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