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Finding the Fourth Proportional to 3,852.92, 5,778.14 and 1,255.25

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Solution

The fourth proportional to 3,852.92, 5,778.14 and 1,255.25 is: 1,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.92 : 5,778.14 = 1,255.25 : x
  2. Step 2: Convert to fraction form
    3,852.92/5,778.14 = 1,255.25/x
  3. Step 3: Cross multiply
    3,852.92x = 5,778.14 × 1,255.25
  4. Step 4: Simplify right side
    3,852.92x = 7,253,010.24
  5. Step 5: Solve for x
    x = 7,253,010.24/3,852.92
  6. Step 6: Final answer
    x = 1,882.47

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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.