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Finding the Fourth Proportional to 3,937.70, 5,906.57 and 1,469.63

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Solution

The fourth proportional to 3,937.70, 5,906.57 and 1,469.63 is: 2,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.70 : 5,906.57 = 1,469.63 : x
  2. Step 2: Convert to fraction form
    3,937.70/5,906.57 = 1,469.63/x
  3. Step 3: Cross multiply
    3,937.70x = 5,906.57 × 1,469.63
  4. Step 4: Simplify right side
    3,937.70x = 8,680,435.59
  5. Step 5: Solve for x
    x = 8,680,435.59/3,937.70
  6. Step 6: Final answer
    x = 2,204.45

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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.