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Finding the Fourth Proportional to 5,129.28, 7,694.28 and 1,666.50

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Solution

The fourth proportional to 5,129.28, 7,694.28 and 1,666.50 is: 2,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.28 : 7,694.28 = 1,666.50 : x
  2. Step 2: Convert to fraction form
    5,129.28/7,694.28 = 1,666.50/x
  3. Step 3: Cross multiply
    5,129.28x = 7,694.28 × 1,666.50
  4. Step 4: Simplify right side
    5,129.28x = 12,822,517.62
  5. Step 5: Solve for x
    x = 12,822,517.62/5,129.28
  6. Step 6: Final answer
    x = 2,499.87

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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.