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Finding the Fourth Proportional to 2,556.64, 3,834.55 and 825.27

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Solution

The fourth proportional to 2,556.64, 3,834.55 and 825.27 is: 1,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.64 : 3,834.55 = 825.27 : x
  2. Step 2: Convert to fraction form
    2,556.64/3,834.55 = 825.27/x
  3. Step 3: Cross multiply
    2,556.64x = 3,834.55 × 825.27
  4. Step 4: Simplify right side
    2,556.64x = 3,164,539.08
  5. Step 5: Solve for x
    x = 3,164,539.08/2,556.64
  6. Step 6: Final answer
    x = 1,237.77

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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.