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Finding the Fourth Proportional to 13,616.63, 20,426.20 and 5,297.27

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Solution

The fourth proportional to 13,616.63, 20,426.20 and 5,297.27 is: 7,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.63 : 20,426.20 = 5,297.27 : x
  2. Step 2: Convert to fraction form
    13,616.63/20,426.20 = 5,297.27/x
  3. Step 3: Cross multiply
    13,616.63x = 20,426.20 × 5,297.27
  4. Step 4: Simplify right side
    13,616.63x = 108,203,096.47
  5. Step 5: Solve for x
    x = 108,203,096.47/13,616.63
  6. Step 6: Final answer
    x = 7,946.39

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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.