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Finding the Fourth Proportional to 2,137.32, 3,202.98 and 819.65

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Solution

The fourth proportional to 2,137.32, 3,202.98 and 819.65 is: 1,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.32 : 3,202.98 = 819.65 : x
  2. Step 2: Convert to fraction form
    2,137.32/3,202.98 = 819.65/x
  3. Step 3: Cross multiply
    2,137.32x = 3,202.98 × 819.65
  4. Step 4: Simplify right side
    2,137.32x = 2,625,322.56
  5. Step 5: Solve for x
    x = 2,625,322.56/2,137.32
  6. Step 6: Final answer
    x = 1,228.32

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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.