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Finding the Fourth Proportional to 12,187.44, 16,827.48 and 8,007.84

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Solution

The fourth proportional to 12,187.44, 16,827.48 and 8,007.84 is: 11,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.44 : 16,827.48 = 8,007.84 : x
  2. Step 2: Convert to fraction form
    12,187.44/16,827.48 = 8,007.84/x
  3. Step 3: Cross multiply
    12,187.44x = 16,827.48 × 8,007.84
  4. Step 4: Simplify right side
    12,187.44x = 134,751,767.44
  5. Step 5: Solve for x
    x = 134,751,767.44/12,187.44
  6. Step 6: Final answer
    x = 11,056.61

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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.