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Finding the Fourth Proportional to 2,558.13, 3,837.80 and 826.75

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Solution

The fourth proportional to 2,558.13, 3,837.80 and 826.75 is: 1,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.13 : 3,837.80 = 826.75 : x
  2. Step 2: Convert to fraction form
    2,558.13/3,837.80 = 826.75/x
  3. Step 3: Cross multiply
    2,558.13x = 3,837.80 × 826.75
  4. Step 4: Simplify right side
    2,558.13x = 3,172,901.15
  5. Step 5: Solve for x
    x = 3,172,901.15/2,558.13
  6. Step 6: Final answer
    x = 1,240.32

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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.