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Finding the Fourth Proportional to 3,901, 5,383.54 and 2,245

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Solution

The fourth proportional to 3,901, 5,383.54 and 2,245 is: 3,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901 : 5,383.54 = 2,245 : x
  2. Step 2: Convert to fraction form
    3,901/5,383.54 = 2,245/x
  3. Step 3: Cross multiply
    3,901x = 5,383.54 × 2,245
  4. Step 4: Simplify right side
    3,901x = 12,086,047.30
  5. Step 5: Solve for x
    x = 12,086,047.30/3,901
  6. Step 6: Final answer
    x = 3,098.19

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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.