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Finding the Fourth Proportional to 12,164.58, 16,782.19 and 8,584.73

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Solution

The fourth proportional to 12,164.58, 16,782.19 and 8,584.73 is: 11,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.58 : 16,782.19 = 8,584.73 : x
  2. Step 2: Convert to fraction form
    12,164.58/16,782.19 = 8,584.73/x
  3. Step 3: Cross multiply
    12,164.58x = 16,782.19 × 8,584.73
  4. Step 4: Simplify right side
    12,164.58x = 144,070,621.92
  5. Step 5: Solve for x
    x = 144,070,621.92/12,164.58
  6. Step 6: Final answer
    x = 11,843.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.