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Finding the Fourth Proportional to 9,691.26, 13,392.29 and 8,255.41

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Solution

The fourth proportional to 9,691.26, 13,392.29 and 8,255.41 is: 11,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.26 : 13,392.29 = 8,255.41 : x
  2. Step 2: Convert to fraction form
    9,691.26/13,392.29 = 8,255.41/x
  3. Step 3: Cross multiply
    9,691.26x = 13,392.29 × 8,255.41
  4. Step 4: Simplify right side
    9,691.26x = 110,558,844.79
  5. Step 5: Solve for x
    x = 110,558,844.79/9,691.26
  6. Step 6: Final answer
    x = 11,408.10

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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.