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Finding the Fourth Proportional to 9,115.30, 12,497.07 and 8,949.22

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Solution

The fourth proportional to 9,115.30, 12,497.07 and 8,949.22 is: 12,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.30 : 12,497.07 = 8,949.22 : x
  2. Step 2: Convert to fraction form
    9,115.30/12,497.07 = 8,949.22/x
  3. Step 3: Cross multiply
    9,115.30x = 12,497.07 × 8,949.22
  4. Step 4: Simplify right side
    9,115.30x = 111,838,984.04
  5. Step 5: Solve for x
    x = 111,838,984.04/9,115.30
  6. Step 6: Final answer
    x = 12,269.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.