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Finding the Fourth Proportional to 7,129.34, 10,694 and 3,179.58

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Solution

The fourth proportional to 7,129.34, 10,694 and 3,179.58 is: 4,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.34 : 10,694 = 3,179.58 : x
  2. Step 2: Convert to fraction form
    7,129.34/10,694 = 3,179.58/x
  3. Step 3: Cross multiply
    7,129.34x = 10,694 × 3,179.58
  4. Step 4: Simplify right side
    7,129.34x = 34,002,428.52
  5. Step 5: Solve for x
    x = 34,002,428.52/7,129.34
  6. Step 6: Final answer
    x = 4,769.37

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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.