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Finding the Fourth Proportional to 6,211.76, 8,574.26 and 3,976.97

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Solution

The fourth proportional to 6,211.76, 8,574.26 and 3,976.97 is: 5,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.76 : 8,574.26 = 3,976.97 : x
  2. Step 2: Convert to fraction form
    6,211.76/8,574.26 = 3,976.97/x
  3. Step 3: Cross multiply
    6,211.76x = 8,574.26 × 3,976.97
  4. Step 4: Simplify right side
    6,211.76x = 34,099,512.04
  5. Step 5: Solve for x
    x = 34,099,512.04/6,211.76
  6. Step 6: Final answer
    x = 5,489.51

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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.