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Finding the Fourth Proportional to 2,601.96, 3,906 and 2,196.24

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Solution

The fourth proportional to 2,601.96, 3,906 and 2,196.24 is: 3,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.96 : 3,906 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    2,601.96/3,906 = 2,196.24/x
  3. Step 3: Cross multiply
    2,601.96x = 3,906 × 2,196.24
  4. Step 4: Simplify right side
    2,601.96x = 8,578,513.44
  5. Step 5: Solve for x
    x = 8,578,513.44/2,601.96
  6. Step 6: Final answer
    x = 3,296.94

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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.