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Finding the Fourth Proportional to 2,141.87, 3,212.39 and 825.62

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Solution

The fourth proportional to 2,141.87, 3,212.39 and 825.62 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.87 : 3,212.39 = 825.62 : x
  2. Step 2: Convert to fraction form
    2,141.87/3,212.39 = 825.62/x
  3. Step 3: Cross multiply
    2,141.87x = 3,212.39 × 825.62
  4. Step 4: Simplify right side
    2,141.87x = 2,652,199.43
  5. Step 5: Solve for x
    x = 2,652,199.43/2,141.87
  6. Step 6: Final answer
    x = 1,238.27

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1.5x scale

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.