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Finding the Fourth Proportional to 12,993.21, 19,494 and 4,234.14

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Solution

The fourth proportional to 12,993.21, 19,494 and 4,234.14 is: 6,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.21 : 19,494 = 4,234.14 : x
  2. Step 2: Convert to fraction form
    12,993.21/19,494 = 4,234.14/x
  3. Step 3: Cross multiply
    12,993.21x = 19,494 × 4,234.14
  4. Step 4: Simplify right side
    12,993.21x = 82,540,325.16
  5. Step 5: Solve for x
    x = 82,540,325.16/12,993.21
  6. Step 6: Final answer
    x = 6,352.57

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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.