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Finding the Fourth Proportional to 3,838.92, 5,755.02 and 3,186.23

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Solution

The fourth proportional to 3,838.92, 5,755.02 and 3,186.23 is: 4,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.92 : 5,755.02 = 3,186.23 : x
  2. Step 2: Convert to fraction form
    3,838.92/5,755.02 = 3,186.23/x
  3. Step 3: Cross multiply
    3,838.92x = 5,755.02 × 3,186.23
  4. Step 4: Simplify right side
    3,838.92x = 18,336,788.60
  5. Step 5: Solve for x
    x = 18,336,788.60/3,838.92
  6. Step 6: Final answer
    x = 4,776.55

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1.5x scale

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.