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Finding the Fourth Proportional to 5,647.87, 8,469.72 and 1,949.08

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Solution

The fourth proportional to 5,647.87, 8,469.72 and 1,949.08 is: 2,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.87 : 8,469.72 = 1,949.08 : x
  2. Step 2: Convert to fraction form
    5,647.87/8,469.72 = 1,949.08/x
  3. Step 3: Cross multiply
    5,647.87x = 8,469.72 × 1,949.08
  4. Step 4: Simplify right side
    5,647.87x = 16,508,161.86
  5. Step 5: Solve for x
    x = 16,508,161.86/5,647.87
  6. Step 6: Final answer
    x = 2,922.90

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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.