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Finding the Fourth Proportional to 13,613.67, 20,423.24 and 6,216.14

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Solution

The fourth proportional to 13,613.67, 20,423.24 and 6,216.14 is: 9,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.67 : 20,423.24 = 6,216.14 : x
  2. Step 2: Convert to fraction form
    13,613.67/20,423.24 = 6,216.14/x
  3. Step 3: Cross multiply
    13,613.67x = 20,423.24 × 6,216.14
  4. Step 4: Simplify right side
    13,613.67x = 126,953,762.38
  5. Step 5: Solve for x
    x = 126,953,762.38/13,613.67
  6. Step 6: Final answer
    x = 9,325.46

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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.