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Finding the Fourth Proportional to 13,647.98, 20,447.60 and 7,404

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Solution

The fourth proportional to 13,647.98, 20,447.60 and 7,404 is: 11,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.98 : 20,447.60 = 7,404 : x
  2. Step 2: Convert to fraction form
    13,647.98/20,447.60 = 7,404/x
  3. Step 3: Cross multiply
    13,647.98x = 20,447.60 × 7,404
  4. Step 4: Simplify right side
    13,647.98x = 151,394,030.40
  5. Step 5: Solve for x
    x = 151,394,030.40/13,647.98
  6. Step 6: Final answer
    x = 11,092.78

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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.