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Finding the Fourth Proportional to 2,556.69, 3,834.86 and 682.44

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Solution

The fourth proportional to 2,556.69, 3,834.86 and 682.44 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.69 : 3,834.86 = 682.44 : x
  2. Step 2: Convert to fraction form
    2,556.69/3,834.86 = 682.44/x
  3. Step 3: Cross multiply
    2,556.69x = 3,834.86 × 682.44
  4. Step 4: Simplify right side
    2,556.69x = 2,617,044.07
  5. Step 5: Solve for x
    x = 2,617,044.07/2,556.69
  6. Step 6: Final answer
    x = 1,023.61

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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.