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Finding the Fourth Proportional to 5,129.70, 7,694.31 and 1,431.85

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Solution

The fourth proportional to 5,129.70, 7,694.31 and 1,431.85 is: 2,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.70 : 7,694.31 = 1,431.85 : x
  2. Step 2: Convert to fraction form
    5,129.70/7,694.31 = 1,431.85/x
  3. Step 3: Cross multiply
    5,129.70x = 7,694.31 × 1,431.85
  4. Step 4: Simplify right side
    5,129.70x = 11,017,097.77
  5. Step 5: Solve for x
    x = 11,017,097.77/5,129.70
  6. Step 6: Final answer
    x = 2,147.71

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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.