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Finding the Fourth Proportional to 3,994.24, 5,981.60 and 3,296.64

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Solution

The fourth proportional to 3,994.24, 5,981.60 and 3,296.64 is: 4,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.24 : 5,981.60 = 3,296.64 : x
  2. Step 2: Convert to fraction form
    3,994.24/5,981.60 = 3,296.64/x
  3. Step 3: Cross multiply
    3,994.24x = 5,981.60 × 3,296.64
  4. Step 4: Simplify right side
    3,994.24x = 19,719,181.82
  5. Step 5: Solve for x
    x = 19,719,181.82/3,994.24
  6. Step 6: Final answer
    x = 4,936.90

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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.