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Finding the Fourth Proportional to 11,892.35, 17,825.09 and 5,643.69

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Solution

The fourth proportional to 11,892.35, 17,825.09 and 5,643.69 is: 8,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.35 : 17,825.09 = 5,643.69 : x
  2. Step 2: Convert to fraction form
    11,892.35/17,825.09 = 5,643.69/x
  3. Step 3: Cross multiply
    11,892.35x = 17,825.09 × 5,643.69
  4. Step 4: Simplify right side
    11,892.35x = 100,599,253.96
  5. Step 5: Solve for x
    x = 100,599,253.96/11,892.35
  6. Step 6: Final answer
    x = 8,459.16

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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.