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Finding the Fourth Proportional to 13,992.81, 20,974.43 and 4,630.43

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Solution

The fourth proportional to 13,992.81, 20,974.43 and 4,630.43 is: 6,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.81 : 20,974.43 = 4,630.43 : x
  2. Step 2: Convert to fraction form
    13,992.81/20,974.43 = 4,630.43/x
  3. Step 3: Cross multiply
    13,992.81x = 20,974.43 × 4,630.43
  4. Step 4: Simplify right side
    13,992.81x = 97,120,629.90
  5. Step 5: Solve for x
    x = 97,120,629.90/13,992.81
  6. Step 6: Final answer
    x = 6,940.75

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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.