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Finding the Fourth Proportional to 2,150.64, 3,224.90 and 689.61

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Solution

The fourth proportional to 2,150.64, 3,224.90 and 689.61 is: 1,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.64 : 3,224.90 = 689.61 : x
  2. Step 2: Convert to fraction form
    2,150.64/3,224.90 = 689.61/x
  3. Step 3: Cross multiply
    2,150.64x = 3,224.90 × 689.61
  4. Step 4: Simplify right side
    2,150.64x = 2,223,919.84
  5. Step 5: Solve for x
    x = 2,223,919.84/2,150.64
  6. Step 6: Final answer
    x = 1,034.07

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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.