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Finding the Fourth Proportional to 8,137.76, 12,208.06 and 3,980.64

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Solution

The fourth proportional to 8,137.76, 12,208.06 and 3,980.64 is: 5,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.76 : 12,208.06 = 3,980.64 : x
  2. Step 2: Convert to fraction form
    8,137.76/12,208.06 = 3,980.64/x
  3. Step 3: Cross multiply
    8,137.76x = 12,208.06 × 3,980.64
  4. Step 4: Simplify right side
    8,137.76x = 48,595,891.96
  5. Step 5: Solve for x
    x = 48,595,891.96/8,137.76
  6. Step 6: Final answer
    x = 5,971.65

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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.