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Finding the Fourth Proportional to 12,009.60, 16,571.71 and 6,704.64

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Solution

The fourth proportional to 12,009.60, 16,571.71 and 6,704.64 is: 9,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.60 : 16,571.71 = 6,704.64 : x
  2. Step 2: Convert to fraction form
    12,009.60/16,571.71 = 6,704.64/x
  3. Step 3: Cross multiply
    12,009.60x = 16,571.71 × 6,704.64
  4. Step 4: Simplify right side
    12,009.60x = 111,107,349.73
  5. Step 5: Solve for x
    x = 111,107,349.73/12,009.60
  6. Step 6: Final answer
    x = 9,251.54

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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.