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Finding the Fourth Proportional to 2,556.56, 3,834.84 and 825.19

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Solution

The fourth proportional to 2,556.56, 3,834.84 and 825.19 is: 1,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.56 : 3,834.84 = 825.19 : x
  2. Step 2: Convert to fraction form
    2,556.56/3,834.84 = 825.19/x
  3. Step 3: Cross multiply
    2,556.56x = 3,834.84 × 825.19
  4. Step 4: Simplify right side
    2,556.56x = 3,164,465.13
  5. Step 5: Solve for x
    x = 3,164,465.13/2,556.56
  6. Step 6: Final answer
    x = 1,237.78

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Similar ratio
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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.