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Finding the Fourth Proportional to 8,137.80, 12,207.30 and 2,294.34

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Solution

The fourth proportional to 8,137.80, 12,207.30 and 2,294.34 is: 3,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.80 : 12,207.30 = 2,294.34 : x
  2. Step 2: Convert to fraction form
    8,137.80/12,207.30 = 2,294.34/x
  3. Step 3: Cross multiply
    8,137.80x = 12,207.30 × 2,294.34
  4. Step 4: Simplify right side
    8,137.80x = 28,007,696.68
  5. Step 5: Solve for x
    x = 28,007,696.68/8,137.80
  6. Step 6: Final answer
    x = 3,441.68

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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.