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Finding the Fourth Proportional to 3,940.81, 5,914.86 and 1,994.38

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Solution

The fourth proportional to 3,940.81, 5,914.86 and 1,994.38 is: 2,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.81 : 5,914.86 = 1,994.38 : x
  2. Step 2: Convert to fraction form
    3,940.81/5,914.86 = 1,994.38/x
  3. Step 3: Cross multiply
    3,940.81x = 5,914.86 × 1,994.38
  4. Step 4: Simplify right side
    3,940.81x = 11,796,478.49
  5. Step 5: Solve for x
    x = 11,796,478.49/3,940.81
  6. Step 6: Final answer
    x = 2,993.41

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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.