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Finding the Fourth Proportional to 2,197, 3,296.60 and 1,101.48

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Solution

The fourth proportional to 2,197, 3,296.60 and 1,101.48 is: 1,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197 : 3,296.60 = 1,101.48 : x
  2. Step 2: Convert to fraction form
    2,197/3,296.60 = 1,101.48/x
  3. Step 3: Cross multiply
    2,197x = 3,296.60 × 1,101.48
  4. Step 4: Simplify right side
    2,197x = 3,631,138.97
  5. Step 5: Solve for x
    x = 3,631,138.97/2,197
  6. Step 6: Final answer
    x = 1,652.77

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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.