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Finding the Fourth Proportional to 13,181.88, 18,191 and 9,827.64

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Solution

The fourth proportional to 13,181.88, 18,191 and 9,827.64 is: 13,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.88 : 18,191 = 9,827.64 : x
  2. Step 2: Convert to fraction form
    13,181.88/18,191 = 9,827.64/x
  3. Step 3: Cross multiply
    13,181.88x = 18,191 × 9,827.64
  4. Step 4: Simplify right side
    13,181.88x = 178,774,599.24
  5. Step 5: Solve for x
    x = 178,774,599.24/13,181.88
  6. Step 6: Final answer
    x = 13,562.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.