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Finding the Fourth Proportional to 12,002.61, 18,004.59 and 3,682.71

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Solution

The fourth proportional to 12,002.61, 18,004.59 and 3,682.71 is: 5,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.61 : 18,004.59 = 3,682.71 : x
  2. Step 2: Convert to fraction form
    12,002.61/18,004.59 = 3,682.71/x
  3. Step 3: Cross multiply
    12,002.61x = 18,004.59 × 3,682.71
  4. Step 4: Simplify right side
    12,002.61x = 66,305,683.64
  5. Step 5: Solve for x
    x = 66,305,683.64/12,002.61
  6. Step 6: Final answer
    x = 5,524.27

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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.