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Finding the Fourth Proportional to 2,449.86, 3,674.79 and 1,722.69

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Solution

The fourth proportional to 2,449.86, 3,674.79 and 1,722.69 is: 2,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.86 : 3,674.79 = 1,722.69 : x
  2. Step 2: Convert to fraction form
    2,449.86/3,674.79 = 1,722.69/x
  3. Step 3: Cross multiply
    2,449.86x = 3,674.79 × 1,722.69
  4. Step 4: Simplify right side
    2,449.86x = 6,330,523.99
  5. Step 5: Solve for x
    x = 6,330,523.99/2,449.86
  6. Step 6: Final answer
    x = 2,584.04

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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.