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Finding the Fourth Proportional to 11,745.42, 17,620.77 and 3,954

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Solution

The fourth proportional to 11,745.42, 17,620.77 and 3,954 is: 5,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.42 : 17,620.77 = 3,954 : x
  2. Step 2: Convert to fraction form
    11,745.42/17,620.77 = 3,954/x
  3. Step 3: Cross multiply
    11,745.42x = 17,620.77 × 3,954
  4. Step 4: Simplify right side
    11,745.42x = 69,672,524.58
  5. Step 5: Solve for x
    x = 69,672,524.58/11,745.42
  6. Step 6: Final answer
    x = 5,931.89

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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.