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Finding the Fourth Proportional to 9,106.62, 12,568.73 and 8,691.09

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Solution

The fourth proportional to 9,106.62, 12,568.73 and 8,691.09 is: 11,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.62 : 12,568.73 = 8,691.09 : x
  2. Step 2: Convert to fraction form
    9,106.62/12,568.73 = 8,691.09/x
  3. Step 3: Cross multiply
    9,106.62x = 12,568.73 × 8,691.09
  4. Step 4: Simplify right side
    9,106.62x = 109,235,963.62
  5. Step 5: Solve for x
    x = 109,235,963.62/9,106.62
  6. Step 6: Final answer
    x = 11,995.23

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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.