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Finding the Fourth Proportional to 2,806.72, 3,874.67 and 2,175.83

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Solution

The fourth proportional to 2,806.72, 3,874.67 and 2,175.83 is: 3,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.72 : 3,874.67 = 2,175.83 : x
  2. Step 2: Convert to fraction form
    2,806.72/3,874.67 = 2,175.83/x
  3. Step 3: Cross multiply
    2,806.72x = 3,874.67 × 2,175.83
  4. Step 4: Simplify right side
    2,806.72x = 8,430,623.23
  5. Step 5: Solve for x
    x = 8,430,623.23/2,806.72
  6. Step 6: Final answer
    x = 3,003.73

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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.