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Finding the Fourth Proportional to 12,771.56, 19,131.74 and 5,836.52

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Solution

The fourth proportional to 12,771.56, 19,131.74 and 5,836.52 is: 8,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.56 : 19,131.74 = 5,836.52 : x
  2. Step 2: Convert to fraction form
    12,771.56/19,131.74 = 5,836.52/x
  3. Step 3: Cross multiply
    12,771.56x = 19,131.74 × 5,836.52
  4. Step 4: Simplify right side
    12,771.56x = 111,662,783.14
  5. Step 5: Solve for x
    x = 111,662,783.14/12,771.56
  6. Step 6: Final answer
    x = 8,743.08

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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.