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Finding the Fourth Proportional to 9,078.92, 12,530.36 and 8,486

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Solution

The fourth proportional to 9,078.92, 12,530.36 and 8,486 is: 11,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.92 : 12,530.36 = 8,486 : x
  2. Step 2: Convert to fraction form
    9,078.92/12,530.36 = 8,486/x
  3. Step 3: Cross multiply
    9,078.92x = 12,530.36 × 8,486
  4. Step 4: Simplify right side
    9,078.92x = 106,332,634.96
  5. Step 5: Solve for x
    x = 106,332,634.96/9,078.92
  6. Step 6: Final answer
    x = 11,712.04

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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.