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Finding the Fourth Proportional to 2,097.09, 3,147 and 798.57

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Solution

The fourth proportional to 2,097.09, 3,147 and 798.57 is: 1,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.09 : 3,147 = 798.57 : x
  2. Step 2: Convert to fraction form
    2,097.09/3,147 = 798.57/x
  3. Step 3: Cross multiply
    2,097.09x = 3,147 × 798.57
  4. Step 4: Simplify right side
    2,097.09x = 2,513,099.79
  5. Step 5: Solve for x
    x = 2,513,099.79/2,097.09
  6. Step 6: Final answer
    x = 1,198.37

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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.