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Finding the Fourth Proportional to 12,633.75, 18,954.81 and 3,868.74

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Solution

The fourth proportional to 12,633.75, 18,954.81 and 3,868.74 is: 5,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.75 : 18,954.81 = 3,868.74 : x
  2. Step 2: Convert to fraction form
    12,633.75/18,954.81 = 3,868.74/x
  3. Step 3: Cross multiply
    12,633.75x = 18,954.81 × 3,868.74
  4. Step 4: Simplify right side
    12,633.75x = 73,331,231.64
  5. Step 5: Solve for x
    x = 73,331,231.64/12,633.75
  6. Step 6: Final answer
    x = 5,804.39

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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.