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Finding the Fourth Proportional to 13,181.94, 19,768.16 and 6,160.64

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Solution

The fourth proportional to 13,181.94, 19,768.16 and 6,160.64 is: 9,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.94 : 19,768.16 = 6,160.64 : x
  2. Step 2: Convert to fraction form
    13,181.94/19,768.16 = 6,160.64/x
  3. Step 3: Cross multiply
    13,181.94x = 19,768.16 × 6,160.64
  4. Step 4: Simplify right side
    13,181.94x = 121,784,433.78
  5. Step 5: Solve for x
    x = 121,784,433.78/13,181.94
  6. Step 6: Final answer
    x = 9,238.73

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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.