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Finding the Fourth Proportional to 3,928.70, 5,891.50 and 1,429.29

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Solution

The fourth proportional to 3,928.70, 5,891.50 and 1,429.29 is: 2,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.70 : 5,891.50 = 1,429.29 : x
  2. Step 2: Convert to fraction form
    3,928.70/5,891.50 = 1,429.29/x
  3. Step 3: Cross multiply
    3,928.70x = 5,891.50 × 1,429.29
  4. Step 4: Simplify right side
    3,928.70x = 8,420,665.61
  5. Step 5: Solve for x
    x = 8,420,665.61/3,928.70
  6. Step 6: Final answer
    x = 2,143.37

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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.