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Finding the Fourth Proportional to 9,115.81, 12,497.76 and 8,949.74

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Solution

The fourth proportional to 9,115.81, 12,497.76 and 8,949.74 is: 12,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.81 : 12,497.76 = 8,949.74 : x
  2. Step 2: Convert to fraction form
    9,115.81/12,497.76 = 8,949.74/x
  3. Step 3: Cross multiply
    9,115.81x = 12,497.76 × 8,949.74
  4. Step 4: Simplify right side
    9,115.81x = 111,851,640.09
  5. Step 5: Solve for x
    x = 111,851,640.09/9,115.81
  6. Step 6: Final answer
    x = 12,270.07

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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.