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Finding the Fourth Proportional to 3,083.86, 4,255.86 and 1,757.56

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Solution

The fourth proportional to 3,083.86, 4,255.86 and 1,757.56 is: 2,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.86 : 4,255.86 = 1,757.56 : x
  2. Step 2: Convert to fraction form
    3,083.86/4,255.86 = 1,757.56/x
  3. Step 3: Cross multiply
    3,083.86x = 4,255.86 × 1,757.56
  4. Step 4: Simplify right side
    3,083.86x = 7,479,929.30
  5. Step 5: Solve for x
    x = 7,479,929.30/3,083.86
  6. Step 6: Final answer
    x = 2,425.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.