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Finding the Fourth Proportional to 2,558.48, 3,837.68 and 827.24

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Solution

The fourth proportional to 2,558.48, 3,837.68 and 827.24 is: 1,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.48 : 3,837.68 = 827.24 : x
  2. Step 2: Convert to fraction form
    2,558.48/3,837.68 = 827.24/x
  3. Step 3: Cross multiply
    2,558.48x = 3,837.68 × 827.24
  4. Step 4: Simplify right side
    2,558.48x = 3,174,682.40
  5. Step 5: Solve for x
    x = 3,174,682.40/2,558.48
  6. Step 6: Final answer
    x = 1,240.85

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1.5x scale

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.