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Finding the Fourth Proportional to 12,168.48, 16,788.96 and 8,194.08

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Solution

The fourth proportional to 12,168.48, 16,788.96 and 8,194.08 is: 11,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.48 : 16,788.96 = 8,194.08 : x
  2. Step 2: Convert to fraction form
    12,168.48/16,788.96 = 8,194.08/x
  3. Step 3: Cross multiply
    12,168.48x = 16,788.96 × 8,194.08
  4. Step 4: Simplify right side
    12,168.48x = 137,570,081.36
  5. Step 5: Solve for x
    x = 137,570,081.36/12,168.48
  6. Step 6: Final answer
    x = 11,305.44

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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.