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Finding the Fourth Proportional to 12,180, 16,801.92 and 8,194.32

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Solution

The fourth proportional to 12,180, 16,801.92 and 8,194.32 is: 11,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180 : 16,801.92 = 8,194.32 : x
  2. Step 2: Convert to fraction form
    12,180/16,801.92 = 8,194.32/x
  3. Step 3: Cross multiply
    12,180x = 16,801.92 × 8,194.32
  4. Step 4: Simplify right side
    12,180x = 137,680,309.09
  5. Step 5: Solve for x
    x = 137,680,309.09/12,180
  6. Step 6: Final answer
    x = 11,303.80

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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.