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Finding the Fourth Proportional to 2,940.27, 4,410.42 and 719.11

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Solution

The fourth proportional to 2,940.27, 4,410.42 and 719.11 is: 1,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.27 : 4,410.42 = 719.11 : x
  2. Step 2: Convert to fraction form
    2,940.27/4,410.42 = 719.11/x
  3. Step 3: Cross multiply
    2,940.27x = 4,410.42 × 719.11
  4. Step 4: Simplify right side
    2,940.27x = 3,171,579.94
  5. Step 5: Solve for x
    x = 3,171,579.94/2,940.27
  6. Step 6: Final answer
    x = 1,078.67

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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.