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Finding the Fourth Proportional to 8,130.74, 12,193.34 and 2,286

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Solution

The fourth proportional to 8,130.74, 12,193.34 and 2,286 is: 3,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.74 : 12,193.34 = 2,286 : x
  2. Step 2: Convert to fraction form
    8,130.74/12,193.34 = 2,286/x
  3. Step 3: Cross multiply
    8,130.74x = 12,193.34 × 2,286
  4. Step 4: Simplify right side
    8,130.74x = 27,873,975.24
  5. Step 5: Solve for x
    x = 27,873,975.24/8,130.74
  6. Step 6: Final answer
    x = 3,428.22

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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.