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Finding the Fourth Proportional to 11,891.00, 16,394.60 and 8,911.22

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Solution

The fourth proportional to 11,891.00, 16,394.60 and 8,911.22 is: 12,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.00 : 16,394.60 = 8,911.22 : x
  2. Step 2: Convert to fraction form
    11,891.00/16,394.60 = 8,911.22/x
  3. Step 3: Cross multiply
    11,891.00x = 16,394.60 × 8,911.22
  4. Step 4: Simplify right side
    11,891.00x = 146,095,827.72
  5. Step 5: Solve for x
    x = 146,095,827.72/11,891.00
  6. Step 6: Final answer
    x = 12,286.25

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1.5x scale

Why These Related Problems?

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