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Finding the Fourth Proportional to 3,954.92, 5,930.64 and 2,105.60

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Solution

The fourth proportional to 3,954.92, 5,930.64 and 2,105.60 is: 3,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.92 : 5,930.64 = 2,105.60 : x
  2. Step 2: Convert to fraction form
    3,954.92/5,930.64 = 2,105.60/x
  3. Step 3: Cross multiply
    3,954.92x = 5,930.64 × 2,105.60
  4. Step 4: Simplify right side
    3,954.92x = 12,487,525.93
  5. Step 5: Solve for x
    x = 12,487,525.93/3,954.92
  6. Step 6: Final answer
    x = 3,157.47

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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.