Home / 8,137-12,198.26-2,941.72

Finding the Fourth Proportional to 8,137, 12,198.26 and 2,941.72

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Solution

The fourth proportional to 8,137, 12,198.26 and 2,941.72 is: 4,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137 : 12,198.26 = 2,941.72 : x
  2. Step 2: Convert to fraction form
    8,137/12,198.26 = 2,941.72/x
  3. Step 3: Cross multiply
    8,137x = 12,198.26 × 2,941.72
  4. Step 4: Simplify right side
    8,137x = 35,883,865.41
  5. Step 5: Solve for x
    x = 35,883,865.41/8,137
  6. Step 6: Final answer
    x = 4,409.96

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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.