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Finding the Fourth Proportional to 13,442.63, 20,163.96 and 5,234.63

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Solution

The fourth proportional to 13,442.63, 20,163.96 and 5,234.63 is: 7,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.63 : 20,163.96 = 5,234.63 : x
  2. Step 2: Convert to fraction form
    13,442.63/20,163.96 = 5,234.63/x
  3. Step 3: Cross multiply
    13,442.63x = 20,163.96 × 5,234.63
  4. Step 4: Simplify right side
    13,442.63x = 105,550,769.12
  5. Step 5: Solve for x
    x = 105,550,769.12/13,442.63
  6. Step 6: Final answer
    x = 7,851.95

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Why These Related Problems?

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