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Finding the Fourth Proportional to 3,940.64, 5,905.01 and 2,378.92

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Solution

The fourth proportional to 3,940.64, 5,905.01 and 2,378.92 is: 3,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.64 : 5,905.01 = 2,378.92 : x
  2. Step 2: Convert to fraction form
    3,940.64/5,905.01 = 2,378.92/x
  3. Step 3: Cross multiply
    3,940.64x = 5,905.01 × 2,378.92
  4. Step 4: Simplify right side
    3,940.64x = 14,047,546.39
  5. Step 5: Solve for x
    x = 14,047,546.39/3,940.64
  6. Step 6: Final answer
    x = 3,564.79

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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.