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Finding the Fourth Proportional to 2,152.70, 3,229.05 and 613.70

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Solution

The fourth proportional to 2,152.70, 3,229.05 and 613.70 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.70 : 3,229.05 = 613.70 : x
  2. Step 2: Convert to fraction form
    2,152.70/3,229.05 = 613.70/x
  3. Step 3: Cross multiply
    2,152.70x = 3,229.05 × 613.70
  4. Step 4: Simplify right side
    2,152.70x = 1,981,667.99
  5. Step 5: Solve for x
    x = 1,981,667.99/2,152.70
  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.