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Finding the Fourth Proportional to 3,788.91, 5,686.02 and 2,121.30

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Solution

The fourth proportional to 3,788.91, 5,686.02 and 2,121.30 is: 3,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.91 : 5,686.02 = 2,121.30 : x
  2. Step 2: Convert to fraction form
    3,788.91/5,686.02 = 2,121.30/x
  3. Step 3: Cross multiply
    3,788.91x = 5,686.02 × 2,121.30
  4. Step 4: Simplify right side
    3,788.91x = 12,061,754.23
  5. Step 5: Solve for x
    x = 12,061,754.23/3,788.91
  6. Step 6: Final answer
    x = 3,183.44

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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.