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Finding the Fourth Proportional to 11,483.78, 17,231.13 and 6,806.43

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Solution

The fourth proportional to 11,483.78, 17,231.13 and 6,806.43 is: 10,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.78 : 17,231.13 = 6,806.43 : x
  2. Step 2: Convert to fraction form
    11,483.78/17,231.13 = 6,806.43/x
  3. Step 3: Cross multiply
    11,483.78x = 17,231.13 × 6,806.43
  4. Step 4: Simplify right side
    11,483.78x = 117,282,480.17
  5. Step 5: Solve for x
    x = 117,282,480.17/11,483.78
  6. Step 6: Final answer
    x = 10,212.89

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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.