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Finding the Fourth Proportional to 3,157.71, 4,738.68 and 1,105.71

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Solution

The fourth proportional to 3,157.71, 4,738.68 and 1,105.71 is: 1,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.71 : 4,738.68 = 1,105.71 : x
  2. Step 2: Convert to fraction form
    3,157.71/4,738.68 = 1,105.71/x
  3. Step 3: Cross multiply
    3,157.71x = 4,738.68 × 1,105.71
  4. Step 4: Simplify right side
    3,157.71x = 5,239,605.86
  5. Step 5: Solve for x
    x = 5,239,605.86/3,157.71
  6. Step 6: Final answer
    x = 1,659.31

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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.