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Finding the Fourth Proportional to 3,852.48, 5,778.96 and 1,255.68

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Solution

The fourth proportional to 3,852.48, 5,778.96 and 1,255.68 is: 1,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.48 : 5,778.96 = 1,255.68 : x
  2. Step 2: Convert to fraction form
    3,852.48/5,778.96 = 1,255.68/x
  3. Step 3: Cross multiply
    3,852.48x = 5,778.96 × 1,255.68
  4. Step 4: Simplify right side
    3,852.48x = 7,256,524.49
  5. Step 5: Solve for x
    x = 7,256,524.49/3,852.48
  6. Step 6: Final answer
    x = 1,883.60

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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.