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Finding the Fourth Proportional to 3,164.87, 4,747.21 and 1,086.28

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Solution

The fourth proportional to 3,164.87, 4,747.21 and 1,086.28 is: 1,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.87 : 4,747.21 = 1,086.28 : x
  2. Step 2: Convert to fraction form
    3,164.87/4,747.21 = 1,086.28/x
  3. Step 3: Cross multiply
    3,164.87x = 4,747.21 × 1,086.28
  4. Step 4: Simplify right side
    3,164.87x = 5,156,784.70
  5. Step 5: Solve for x
    x = 5,156,784.70/3,164.87
  6. Step 6: Final answer
    x = 1,629.38

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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.