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Finding the Fourth Proportional to 2,163.86, 2,982.63 and 1,879.55

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Solution

The fourth proportional to 2,163.86, 2,982.63 and 1,879.55 is: 2,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.86 : 2,982.63 = 1,879.55 : x
  2. Step 2: Convert to fraction form
    2,163.86/2,982.63 = 1,879.55/x
  3. Step 3: Cross multiply
    2,163.86x = 2,982.63 × 1,879.55
  4. Step 4: Simplify right side
    2,163.86x = 5,605,987.30
  5. Step 5: Solve for x
    x = 5,605,987.30/2,163.86
  6. Step 6: Final answer
    x = 2,590.74

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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.