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Finding the Fourth Proportional to 3,906.61, 5,391.12 and 2,228.02

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Solution

The fourth proportional to 3,906.61, 5,391.12 and 2,228.02 is: 3,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.61 : 5,391.12 = 2,228.02 : x
  2. Step 2: Convert to fraction form
    3,906.61/5,391.12 = 2,228.02/x
  3. Step 3: Cross multiply
    3,906.61x = 5,391.12 × 2,228.02
  4. Step 4: Simplify right side
    3,906.61x = 12,011,523.18
  5. Step 5: Solve for x
    x = 12,011,523.18/3,906.61
  6. Step 6: Final answer
    x = 3,074.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.