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Finding the Fourth Proportional to 8,131.77, 12,199.38 and 3,134.27

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Solution

The fourth proportional to 8,131.77, 12,199.38 and 3,134.27 is: 4,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.77 : 12,199.38 = 3,134.27 : x
  2. Step 2: Convert to fraction form
    8,131.77/12,199.38 = 3,134.27/x
  3. Step 3: Cross multiply
    8,131.77x = 12,199.38 × 3,134.27
  4. Step 4: Simplify right side
    8,131.77x = 38,236,169.50
  5. Step 5: Solve for x
    x = 38,236,169.50/8,131.77
  6. Step 6: Final answer
    x = 4,702.07

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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.