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Finding the Fourth Proportional to 3,853.48, 5,778.90 and 1,255.82

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Solution

The fourth proportional to 3,853.48, 5,778.90 and 1,255.82 is: 1,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.48 : 5,778.90 = 1,255.82 : x
  2. Step 2: Convert to fraction form
    3,853.48/5,778.90 = 1,255.82/x
  3. Step 3: Cross multiply
    3,853.48x = 5,778.90 × 1,255.82
  4. Step 4: Simplify right side
    3,853.48x = 7,257,258.20
  5. Step 5: Solve for x
    x = 7,257,258.20/3,853.48
  6. Step 6: Final answer
    x = 1,883.30

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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.