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Finding the Fourth Proportional to 3,157.88, 4,738.97 and 1,105.88

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Solution

The fourth proportional to 3,157.88, 4,738.97 and 1,105.88 is: 1,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.88 : 4,738.97 = 1,105.88 : x
  2. Step 2: Convert to fraction form
    3,157.88/4,738.97 = 1,105.88/x
  3. Step 3: Cross multiply
    3,157.88x = 4,738.97 × 1,105.88
  4. Step 4: Simplify right side
    3,157.88x = 5,240,711.21
  5. Step 5: Solve for x
    x = 5,240,711.21/3,157.88
  6. Step 6: Final answer
    x = 1,659.57

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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.