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Finding the Fourth Proportional to 11,205.65, 16,786.60 and 8,728.87

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Solution

The fourth proportional to 11,205.65, 16,786.60 and 8,728.87 is: 13,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.65 : 16,786.60 = 8,728.87 : x
  2. Step 2: Convert to fraction form
    11,205.65/16,786.60 = 8,728.87/x
  3. Step 3: Cross multiply
    11,205.65x = 16,786.60 × 8,728.87
  4. Step 4: Simplify right side
    11,205.65x = 146,528,088.59
  5. Step 5: Solve for x
    x = 146,528,088.59/11,205.65
  6. Step 6: Final answer
    x = 13,076.27

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Why These Related Problems?

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