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Finding the Fourth Proportional to 3,794.92, 5,242.16 and 3,211.72

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Solution

The fourth proportional to 3,794.92, 5,242.16 and 3,211.72 is: 4,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.92 : 5,242.16 = 3,211.72 : x
  2. Step 2: Convert to fraction form
    3,794.92/5,242.16 = 3,211.72/x
  3. Step 3: Cross multiply
    3,794.92x = 5,242.16 × 3,211.72
  4. Step 4: Simplify right side
    3,794.92x = 16,836,350.12
  5. Step 5: Solve for x
    x = 16,836,350.12/3,794.92
  6. Step 6: Final answer
    x = 4,436.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.