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Finding the Fourth Proportional to 11,106.12, 16,650.86 and 6,722.52

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Solution

The fourth proportional to 11,106.12, 16,650.86 and 6,722.52 is: 10,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.12 : 16,650.86 = 6,722.52 : x
  2. Step 2: Convert to fraction form
    11,106.12/16,650.86 = 6,722.52/x
  3. Step 3: Cross multiply
    11,106.12x = 16,650.86 × 6,722.52
  4. Step 4: Simplify right side
    11,106.12x = 111,935,739.37
  5. Step 5: Solve for x
    x = 111,935,739.37/11,106.12
  6. Step 6: Final answer
    x = 10,078.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.