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Finding the Fourth Proportional to 2,606.54, 3,906.17 and 1,872.68

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Solution

The fourth proportional to 2,606.54, 3,906.17 and 1,872.68 is: 2,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.54 : 3,906.17 = 1,872.68 : x
  2. Step 2: Convert to fraction form
    2,606.54/3,906.17 = 1,872.68/x
  3. Step 3: Cross multiply
    2,606.54x = 3,906.17 × 1,872.68
  4. Step 4: Simplify right side
    2,606.54x = 7,315,006.44
  5. Step 5: Solve for x
    x = 7,315,006.44/2,606.54
  6. Step 6: Final answer
    x = 2,806.40

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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.