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Finding the Fourth Proportional to 2,609.02, 3,914.46 and 1,147.99

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Solution

The fourth proportional to 2,609.02, 3,914.46 and 1,147.99 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.02 : 3,914.46 = 1,147.99 : x
  2. Step 2: Convert to fraction form
    2,609.02/3,914.46 = 1,147.99/x
  3. Step 3: Cross multiply
    2,609.02x = 3,914.46 × 1,147.99
  4. Step 4: Simplify right side
    2,609.02x = 4,493,760.94
  5. Step 5: Solve for x
    x = 4,493,760.94/2,609.02
  6. Step 6: Final answer
    x = 1,722.39

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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.