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Finding the Fourth Proportional to 1,806.86, 2,708.44 and 1,149.22

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Solution

The fourth proportional to 1,806.86, 2,708.44 and 1,149.22 is: 1,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.86 : 2,708.44 = 1,149.22 : x
  2. Step 2: Convert to fraction form
    1,806.86/2,708.44 = 1,149.22/x
  3. Step 3: Cross multiply
    1,806.86x = 2,708.44 × 1,149.22
  4. Step 4: Simplify right side
    1,806.86x = 3,112,593.93
  5. Step 5: Solve for x
    x = 3,112,593.93/1,806.86
  6. Step 6: Final answer
    x = 1,722.65

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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.