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Finding the Fourth Proportional to 2,906.28, 4,008.99 and 1,786.42

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Solution

The fourth proportional to 2,906.28, 4,008.99 and 1,786.42 is: 2,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.28 : 4,008.99 = 1,786.42 : x
  2. Step 2: Convert to fraction form
    2,906.28/4,008.99 = 1,786.42/x
  3. Step 3: Cross multiply
    2,906.28x = 4,008.99 × 1,786.42
  4. Step 4: Simplify right side
    2,906.28x = 7,161,739.92
  5. Step 5: Solve for x
    x = 7,161,739.92/2,906.28
  6. Step 6: Final answer
    x = 2,464.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.