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Finding the Fourth Proportional to 9,311.22, 12,863.61 and 6,949.26

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Solution

The fourth proportional to 9,311.22, 12,863.61 and 6,949.26 is: 9,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.22 : 12,863.61 = 6,949.26 : x
  2. Step 2: Convert to fraction form
    9,311.22/12,863.61 = 6,949.26/x
  3. Step 3: Cross multiply
    9,311.22x = 12,863.61 × 6,949.26
  4. Step 4: Simplify right side
    9,311.22x = 89,392,570.43
  5. Step 5: Solve for x
    x = 89,392,570.43/9,311.22
  6. Step 6: Final answer
    x = 9,600.52

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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.