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Finding the Fourth Proportional to 2,169.22, 3,255.13 and 1,992.77

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Solution

The fourth proportional to 2,169.22, 3,255.13 and 1,992.77 is: 2,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.22 : 3,255.13 = 1,992.77 : x
  2. Step 2: Convert to fraction form
    2,169.22/3,255.13 = 1,992.77/x
  3. Step 3: Cross multiply
    2,169.22x = 3,255.13 × 1,992.77
  4. Step 4: Simplify right side
    2,169.22x = 6,486,717.27
  5. Step 5: Solve for x
    x = 6,486,717.27/2,169.22
  6. Step 6: Final answer
    x = 2,990.34

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1.5x scale

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.