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Finding the Fourth Proportional to 13,613.90, 20,422.68 and 13,369.68

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Solution

The fourth proportional to 13,613.90, 20,422.68 and 13,369.68 is: 20,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.90 : 20,422.68 = 13,369.68 : x
  2. Step 2: Convert to fraction form
    13,613.90/20,422.68 = 13,369.68/x
  3. Step 3: Cross multiply
    13,613.90x = 20,422.68 × 13,369.68
  4. Step 4: Simplify right side
    13,613.90x = 273,044,696.34
  5. Step 5: Solve for x
    x = 273,044,696.34/13,613.90
  6. Step 6: Final answer
    x = 20,056.32

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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.