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Finding the Fourth Proportional to 12,245.86, 16,896.33 and 7,767.99

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Solution

The fourth proportional to 12,245.86, 16,896.33 and 7,767.99 is: 10,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.86 : 16,896.33 = 7,767.99 : x
  2. Step 2: Convert to fraction form
    12,245.86/16,896.33 = 7,767.99/x
  3. Step 3: Cross multiply
    12,245.86x = 16,896.33 × 7,767.99
  4. Step 4: Simplify right side
    12,245.86x = 131,250,438.00
  5. Step 5: Solve for x
    x = 131,250,438.00/12,245.86
  6. Step 6: Final answer
    x = 10,717.94

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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.