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Finding the Fourth Proportional to 3,891.62, 5,826.63 and 3,027.62

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Solution

The fourth proportional to 3,891.62, 5,826.63 and 3,027.62 is: 4,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.62 : 5,826.63 = 3,027.62 : x
  2. Step 2: Convert to fraction form
    3,891.62/5,826.63 = 3,027.62/x
  3. Step 3: Cross multiply
    3,891.62x = 5,826.63 × 3,027.62
  4. Step 4: Simplify right side
    3,891.62x = 17,640,821.52
  5. Step 5: Solve for x
    x = 17,640,821.52/3,891.62
  6. Step 6: Final answer
    x = 4,533.03

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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.