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Finding the Fourth Proportional to 3,738, 5,629.25 and 3,256.86

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Solution

The fourth proportional to 3,738, 5,629.25 and 3,256.86 is: 4,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738 : 5,629.25 = 3,256.86 : x
  2. Step 2: Convert to fraction form
    3,738/5,629.25 = 3,256.86/x
  3. Step 3: Cross multiply
    3,738x = 5,629.25 × 3,256.86
  4. Step 4: Simplify right side
    3,738x = 18,333,679.16
  5. Step 5: Solve for x
    x = 18,333,679.16/3,738
  6. Step 6: Final answer
    x = 4,904.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.