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Finding the Fourth Proportional to 3,219.98, 4,834.29 and 1,906.16

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Solution

The fourth proportional to 3,219.98, 4,834.29 and 1,906.16 is: 2,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.98 : 4,834.29 = 1,906.16 : x
  2. Step 2: Convert to fraction form
    3,219.98/4,834.29 = 1,906.16/x
  3. Step 3: Cross multiply
    3,219.98x = 4,834.29 × 1,906.16
  4. Step 4: Simplify right side
    3,219.98x = 9,214,930.23
  5. Step 5: Solve for x
    x = 9,214,930.23/3,219.98
  6. Step 6: Final answer
    x = 2,861.80

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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.