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Finding the Fourth Proportional to 11,861.92, 16,370.67 and 6,826.33

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Solution

The fourth proportional to 11,861.92, 16,370.67 and 6,826.33 is: 9,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.92 : 16,370.67 = 6,826.33 : x
  2. Step 2: Convert to fraction form
    11,861.92/16,370.67 = 6,826.33/x
  3. Step 3: Cross multiply
    11,861.92x = 16,370.67 × 6,826.33
  4. Step 4: Simplify right side
    11,861.92x = 111,751,595.74
  5. Step 5: Solve for x
    x = 111,751,595.74/11,861.92
  6. Step 6: Final answer
    x = 9,421.04

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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.