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Finding the Fourth Proportional to 2,152.60, 3,229.43 and 613.60

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Solution

The fourth proportional to 2,152.60, 3,229.43 and 613.60 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.60 : 3,229.43 = 613.60 : x
  2. Step 2: Convert to fraction form
    2,152.60/3,229.43 = 613.60/x
  3. Step 3: Cross multiply
    2,152.60x = 3,229.43 × 613.60
  4. Step 4: Simplify right side
    2,152.60x = 1,981,571.71
  5. Step 5: Solve for x
    x = 1,981,571.71/2,152.60
  6. Step 6: Final answer
    x = 920.55

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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.