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Finding the Fourth Proportional to 3,944.64, 5,912.64 and 1,994.16

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Solution

The fourth proportional to 3,944.64, 5,912.64 and 1,994.16 is: 2,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.64 : 5,912.64 = 1,994.16 : x
  2. Step 2: Convert to fraction form
    3,944.64/5,912.64 = 1,994.16/x
  3. Step 3: Cross multiply
    3,944.64x = 5,912.64 × 1,994.16
  4. Step 4: Simplify right side
    3,944.64x = 11,790,750.18
  5. Step 5: Solve for x
    x = 11,790,750.18/3,944.64
  6. Step 6: Final answer
    x = 2,989.06

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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.