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Finding the Fourth Proportional to 8,138.73, 12,208.10 and 2,593.78

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Solution

The fourth proportional to 8,138.73, 12,208.10 and 2,593.78 is: 3,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.73 : 12,208.10 = 2,593.78 : x
  2. Step 2: Convert to fraction form
    8,138.73/12,208.10 = 2,593.78/x
  3. Step 3: Cross multiply
    8,138.73x = 12,208.10 × 2,593.78
  4. Step 4: Simplify right side
    8,138.73x = 31,665,082.13
  5. Step 5: Solve for x
    x = 31,665,082.13/8,138.73
  6. Step 6: Final answer
    x = 3,890.67

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1.5x scale

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.