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Finding the Fourth Proportional to 2,556.09, 3,834 and 801.08

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Solution

The fourth proportional to 2,556.09, 3,834 and 801.08 is: 1,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.09 : 3,834 = 801.08 : x
  2. Step 2: Convert to fraction form
    2,556.09/3,834 = 801.08/x
  3. Step 3: Cross multiply
    2,556.09x = 3,834 × 801.08
  4. Step 4: Simplify right side
    2,556.09x = 3,071,321.55
  5. Step 5: Solve for x
    x = 3,071,321.55/2,556.09
  6. Step 6: Final answer
    x = 1,201.57

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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.