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Finding the Fourth Proportional to 2,119.92, 3,179.92 and 820.64

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Solution

The fourth proportional to 2,119.92, 3,179.92 and 820.64 is: 1,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.92 : 3,179.92 = 820.64 : x
  2. Step 2: Convert to fraction form
    2,119.92/3,179.92 = 820.64/x
  3. Step 3: Cross multiply
    2,119.92x = 3,179.92 × 820.64
  4. Step 4: Simplify right side
    2,119.92x = 2,609,569.55
  5. Step 5: Solve for x
    x = 2,609,569.55/2,119.92
  6. Step 6: Final answer
    x = 1,230.98

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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.