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Finding the Fourth Proportional to 11,777.92, 16,267.92 and 8,806.96

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Solution

The fourth proportional to 11,777.92, 16,267.92 and 8,806.96 is: 12,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.92 : 16,267.92 = 8,806.96 : x
  2. Step 2: Convert to fraction form
    11,777.92/16,267.92 = 8,806.96/x
  3. Step 3: Cross multiply
    11,777.92x = 16,267.92 × 8,806.96
  4. Step 4: Simplify right side
    11,777.92x = 143,270,920.72
  5. Step 5: Solve for x
    x = 143,270,920.72/11,777.92
  6. Step 6: Final answer
    x = 12,164.37

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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.