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Finding the Fourth Proportional to 13,427.01, 20,136.47 and 5,634.09

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Solution

The fourth proportional to 13,427.01, 20,136.47 and 5,634.09 is: 8,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.01 : 20,136.47 = 5,634.09 : x
  2. Step 2: Convert to fraction form
    13,427.01/20,136.47 = 5,634.09/x
  3. Step 3: Cross multiply
    13,427.01x = 20,136.47 × 5,634.09
  4. Step 4: Simplify right side
    13,427.01x = 113,450,656.09
  5. Step 5: Solve for x
    x = 113,450,656.09/13,427.01
  6. Step 6: Final answer
    x = 8,449.44

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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.