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Finding the Fourth Proportional to 3,906.56, 5,859.84 and 1,962.56

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Solution

The fourth proportional to 3,906.56, 5,859.84 and 1,962.56 is: 2,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.56 : 5,859.84 = 1,962.56 : x
  2. Step 2: Convert to fraction form
    3,906.56/5,859.84 = 1,962.56/x
  3. Step 3: Cross multiply
    3,906.56x = 5,859.84 × 1,962.56
  4. Step 4: Simplify right side
    3,906.56x = 11,500,287.59
  5. Step 5: Solve for x
    x = 11,500,287.59/3,906.56
  6. Step 6: Final answer
    x = 2,943.84

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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.