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Finding the Fourth Proportional to 12,131.64, 18,199.89 and 3,813.75

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Solution

The fourth proportional to 12,131.64, 18,199.89 and 3,813.75 is: 5,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.64 : 18,199.89 = 3,813.75 : x
  2. Step 2: Convert to fraction form
    12,131.64/18,199.89 = 3,813.75/x
  3. Step 3: Cross multiply
    12,131.64x = 18,199.89 × 3,813.75
  4. Step 4: Simplify right side
    12,131.64x = 69,409,830.49
  5. Step 5: Solve for x
    x = 69,409,830.49/12,131.64
  6. Step 6: Final answer
    x = 5,721.39

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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.