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Finding the Fourth Proportional to 11,891.92, 16,407.08 and 6,922.96

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Solution

The fourth proportional to 11,891.92, 16,407.08 and 6,922.96 is: 9,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.92 : 16,407.08 = 6,922.96 : x
  2. Step 2: Convert to fraction form
    11,891.92/16,407.08 = 6,922.96/x
  3. Step 3: Cross multiply
    11,891.92x = 16,407.08 × 6,922.96
  4. Step 4: Simplify right side
    11,891.92x = 113,585,558.56
  5. Step 5: Solve for x
    x = 113,585,558.56/11,891.92
  6. Step 6: Final answer
    x = 9,551.49

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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.