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Finding the Fourth Proportional to 8,105.74, 12,159.87 and 3,425.77

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Solution

The fourth proportional to 8,105.74, 12,159.87 and 3,425.77 is: 5,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.74 : 12,159.87 = 3,425.77 : x
  2. Step 2: Convert to fraction form
    8,105.74/12,159.87 = 3,425.77/x
  3. Step 3: Cross multiply
    8,105.74x = 12,159.87 × 3,425.77
  4. Step 4: Simplify right side
    8,105.74x = 41,656,848.49
  5. Step 5: Solve for x
    x = 41,656,848.49/8,105.74
  6. Step 6: Final answer
    x = 5,139.18

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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.