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Finding the Fourth Proportional to 2,556.75, 3,835.80 and 825.42

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Solution

The fourth proportional to 2,556.75, 3,835.80 and 825.42 is: 1,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.75 : 3,835.80 = 825.42 : x
  2. Step 2: Convert to fraction form
    2,556.75/3,835.80 = 825.42/x
  3. Step 3: Cross multiply
    2,556.75x = 3,835.80 × 825.42
  4. Step 4: Simplify right side
    2,556.75x = 3,166,146.04
  5. Step 5: Solve for x
    x = 3,166,146.04/2,556.75
  6. Step 6: Final answer
    x = 1,238.35

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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.