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Finding the Fourth Proportional to 2,558, 3,837 and 826.80

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Solution

The fourth proportional to 2,558, 3,837 and 826.80 is: 1,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558 : 3,837 = 826.80 : x
  2. Step 2: Convert to fraction form
    2,558/3,837 = 826.80/x
  3. Step 3: Cross multiply
    2,558x = 3,837 × 826.80
  4. Step 4: Simplify right side
    2,558x = 3,172,431.60
  5. Step 5: Solve for x
    x = 3,172,431.60/2,558
  6. Step 6: Final answer
    x = 1,240.20

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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.