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Finding the Fourth Proportional to 8,130.96, 12,194.64 and 2,286

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Solution

The fourth proportional to 8,130.96, 12,194.64 and 2,286 is: 3,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.96 : 12,194.64 = 2,286 : x
  2. Step 2: Convert to fraction form
    8,130.96/12,194.64 = 2,286/x
  3. Step 3: Cross multiply
    8,130.96x = 12,194.64 × 2,286
  4. Step 4: Simplify right side
    8,130.96x = 27,876,947.04
  5. Step 5: Solve for x
    x = 27,876,947.04/8,130.96
  6. Step 6: Final answer
    x = 3,428.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.