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Finding the Fourth Proportional to 10,809, 16,204.22 and 3,788.04

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Solution

The fourth proportional to 10,809, 16,204.22 and 3,788.04 is: 5,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 16,204.22 = 3,788.04 : x
  2. Step 2: Convert to fraction form
    10,809/16,204.22 = 3,788.04/x
  3. Step 3: Cross multiply
    10,809x = 16,204.22 × 3,788.04
  4. Step 4: Simplify right side
    10,809x = 61,382,233.53
  5. Step 5: Solve for x
    x = 61,382,233.53/10,809
  6. Step 6: Final answer
    x = 5,678.81

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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.