Home / 2,098.86-3,149.51-1,161.90

Finding the Fourth Proportional to 2,098.86, 3,149.51 and 1,161.90

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Solution

The fourth proportional to 2,098.86, 3,149.51 and 1,161.90 is: 1,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.86 : 3,149.51 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    2,098.86/3,149.51 = 1,161.90/x
  3. Step 3: Cross multiply
    2,098.86x = 3,149.51 × 1,161.90
  4. Step 4: Simplify right side
    2,098.86x = 3,659,415.67
  5. Step 5: Solve for x
    x = 3,659,415.67/2,098.86
  6. Step 6: Final answer
    x = 1,743.53

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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.