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Finding the Fourth Proportional to 8,294.50, 12,441.80 and 2,138.50

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Solution

The fourth proportional to 8,294.50, 12,441.80 and 2,138.50 is: 3,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.50 : 12,441.80 = 2,138.50 : x
  2. Step 2: Convert to fraction form
    8,294.50/12,441.80 = 2,138.50/x
  3. Step 3: Cross multiply
    8,294.50x = 12,441.80 × 2,138.50
  4. Step 4: Simplify right side
    8,294.50x = 26,606,789.30
  5. Step 5: Solve for x
    x = 26,606,789.30/8,294.50
  6. Step 6: Final answer
    x = 3,207.76

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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.