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Finding the Fourth Proportional to 2,179.19, 3,269.28 and 640.19

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Solution

The fourth proportional to 2,179.19, 3,269.28 and 640.19 is: 960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.19 : 3,269.28 = 640.19 : x
  2. Step 2: Convert to fraction form
    2,179.19/3,269.28 = 640.19/x
  3. Step 3: Cross multiply
    2,179.19x = 3,269.28 × 640.19
  4. Step 4: Simplify right side
    2,179.19x = 2,092,960.36
  5. Step 5: Solve for x
    x = 2,092,960.36/2,179.19
  6. Step 6: Final answer
    x = 960.43

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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.