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Finding the Fourth Proportional to 11,885, 16,405.62 and 6,917

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Solution

The fourth proportional to 11,885, 16,405.62 and 6,917 is: 9,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885 : 16,405.62 = 6,917 : x
  2. Step 2: Convert to fraction form
    11,885/16,405.62 = 6,917/x
  3. Step 3: Cross multiply
    11,885x = 16,405.62 × 6,917
  4. Step 4: Simplify right side
    11,885x = 113,477,673.54
  5. Step 5: Solve for x
    x = 113,477,673.54/11,885
  6. Step 6: Final answer
    x = 9,547.97

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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.