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Finding the Fourth Proportional to 11,969.92, 16,518.12 and 6,664.62

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Solution

The fourth proportional to 11,969.92, 16,518.12 and 6,664.62 is: 9,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.92 : 16,518.12 = 6,664.62 : x
  2. Step 2: Convert to fraction form
    11,969.92/16,518.12 = 6,664.62/x
  3. Step 3: Cross multiply
    11,969.92x = 16,518.12 × 6,664.62
  4. Step 4: Simplify right side
    11,969.92x = 110,086,992.91
  5. Step 5: Solve for x
    x = 110,086,992.91/11,969.92
  6. Step 6: Final answer
    x = 9,196.97

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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.