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Finding the Fourth Proportional to 18,209.84, 27,325.36 and 7,679.22

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Solution

The fourth proportional to 18,209.84, 27,325.36 and 7,679.22 is: 11,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.84 : 27,325.36 = 7,679.22 : x
  2. Step 2: Convert to fraction form
    18,209.84/27,325.36 = 7,679.22/x
  3. Step 3: Cross multiply
    18,209.84x = 27,325.36 × 7,679.22
  4. Step 4: Simplify right side
    18,209.84x = 209,837,451.02
  5. Step 5: Solve for x
    x = 209,837,451.02/18,209.84
  6. Step 6: Final answer
    x = 11,523.30

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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.