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Finding the Fourth Proportional to 13,620.90, 20,419.01 and 9,462.85

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Solution

The fourth proportional to 13,620.90, 20,419.01 and 9,462.85 is: 14,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.90 : 20,419.01 = 9,462.85 : x
  2. Step 2: Convert to fraction form
    13,620.90/20,419.01 = 9,462.85/x
  3. Step 3: Cross multiply
    13,620.90x = 20,419.01 × 9,462.85
  4. Step 4: Simplify right side
    13,620.90x = 193,222,028.78
  5. Step 5: Solve for x
    x = 193,222,028.78/13,620.90
  6. Step 6: Final answer
    x = 14,185.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.