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Finding the Fourth Proportional to 3,781.06, 5,209.35 and 2,835.37

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Solution

The fourth proportional to 3,781.06, 5,209.35 and 2,835.37 is: 3,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.06 : 5,209.35 = 2,835.37 : x
  2. Step 2: Convert to fraction form
    3,781.06/5,209.35 = 2,835.37/x
  3. Step 3: Cross multiply
    3,781.06x = 5,209.35 × 2,835.37
  4. Step 4: Simplify right side
    3,781.06x = 14,770,430.59
  5. Step 5: Solve for x
    x = 14,770,430.59/3,781.06
  6. Step 6: Final answer
    x = 3,906.43

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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.