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Finding the Fourth Proportional to 8,138.80, 12,200.80 and 2,941.04

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Solution

The fourth proportional to 8,138.80, 12,200.80 and 2,941.04 is: 4,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.80 : 12,200.80 = 2,941.04 : x
  2. Step 2: Convert to fraction form
    8,138.80/12,200.80 = 2,941.04/x
  3. Step 3: Cross multiply
    8,138.80x = 12,200.80 × 2,941.04
  4. Step 4: Simplify right side
    8,138.80x = 35,883,040.83
  5. Step 5: Solve for x
    x = 35,883,040.83/8,138.80
  6. Step 6: Final answer
    x = 4,408.89

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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.