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Finding the Fourth Proportional to 2,940.92, 4,412.90 and 1,954.42

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Solution

The fourth proportional to 2,940.92, 4,412.90 and 1,954.42 is: 2,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.92 : 4,412.90 = 1,954.42 : x
  2. Step 2: Convert to fraction form
    2,940.92/4,412.90 = 1,954.42/x
  3. Step 3: Cross multiply
    2,940.92x = 4,412.90 × 1,954.42
  4. Step 4: Simplify right side
    2,940.92x = 8,624,678.69
  5. Step 5: Solve for x
    x = 8,624,678.69/2,940.92
  6. Step 6: Final answer
    x = 2,932.64

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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.