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Finding the Fourth Proportional to 43,408.62, 65,122.74 and 13,828.14

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Solution

The fourth proportional to 43,408.62, 65,122.74 and 13,828.14 is: 20,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408.62 : 65,122.74 = 13,828.14 : x
  2. Step 2: Convert to fraction form
    43,408.62/65,122.74 = 13,828.14/x
  3. Step 3: Cross multiply
    43,408.62x = 65,122.74 × 13,828.14
  4. Step 4: Simplify right side
    43,408.62x = 900,526,365.90
  5. Step 5: Solve for x
    x = 900,526,365.90/43,408.62
  6. Step 6: Final answer
    x = 20,745.34

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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.