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Finding the Fourth Proportional to 2,556.91, 3,834.53 and 825.13

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Solution

The fourth proportional to 2,556.91, 3,834.53 and 825.13 is: 1,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.91 : 3,834.53 = 825.13 : x
  2. Step 2: Convert to fraction form
    2,556.91/3,834.53 = 825.13/x
  3. Step 3: Cross multiply
    2,556.91x = 3,834.53 × 825.13
  4. Step 4: Simplify right side
    2,556.91x = 3,163,962.44
  5. Step 5: Solve for x
    x = 3,163,962.44/2,556.91
  6. Step 6: Final answer
    x = 1,237.42

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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.