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Finding the Fourth Proportional to 2,149.60, 3,224.70 and 689.14

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Solution

The fourth proportional to 2,149.60, 3,224.70 and 689.14 is: 1,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.60 : 3,224.70 = 689.14 : x
  2. Step 2: Convert to fraction form
    2,149.60/3,224.70 = 689.14/x
  3. Step 3: Cross multiply
    2,149.60x = 3,224.70 × 689.14
  4. Step 4: Simplify right side
    2,149.60x = 2,222,269.76
  5. Step 5: Solve for x
    x = 2,222,269.76/2,149.60
  6. Step 6: Final answer
    x = 1,033.81

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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.