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Finding the Fourth Proportional to 5,129.78, 7,694.12 and 1,667.03

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Solution

The fourth proportional to 5,129.78, 7,694.12 and 1,667.03 is: 2,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.78 : 7,694.12 = 1,667.03 : x
  2. Step 2: Convert to fraction form
    5,129.78/7,694.12 = 1,667.03/x
  3. Step 3: Cross multiply
    5,129.78x = 7,694.12 × 1,667.03
  4. Step 4: Simplify right side
    5,129.78x = 12,826,294.56
  5. Step 5: Solve for x
    x = 12,826,294.56/5,129.78
  6. Step 6: Final answer
    x = 2,500.36

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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.