Home / 2,558.10-3,834.70-825.50

Finding the Fourth Proportional to 2,558.10, 3,834.70 and 825.50

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Solution

The fourth proportional to 2,558.10, 3,834.70 and 825.50 is: 1,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.10 : 3,834.70 = 825.50 : x
  2. Step 2: Convert to fraction form
    2,558.10/3,834.70 = 825.50/x
  3. Step 3: Cross multiply
    2,558.10x = 3,834.70 × 825.50
  4. Step 4: Simplify right side
    2,558.10x = 3,165,544.85
  5. Step 5: Solve for x
    x = 3,165,544.85/2,558.10
  6. Step 6: Final answer
    x = 1,237.46

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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.