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Finding the Fourth Proportional to 5,129.73, 7,684.88 and 3,961.71

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Solution

The fourth proportional to 5,129.73, 7,684.88 and 3,961.71 is: 5,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.73 : 7,684.88 = 3,961.71 : x
  2. Step 2: Convert to fraction form
    5,129.73/7,684.88 = 3,961.71/x
  3. Step 3: Cross multiply
    5,129.73x = 7,684.88 × 3,961.71
  4. Step 4: Simplify right side
    5,129.73x = 30,445,246.14
  5. Step 5: Solve for x
    x = 30,445,246.14/5,129.73
  6. Step 6: Final answer
    x = 5,935.06

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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.