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Finding the Fourth Proportional to 11,938.68, 17,788.06 and 11,268

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Solution

The fourth proportional to 11,938.68, 17,788.06 and 11,268 is: 16,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.68 : 17,788.06 = 11,268 : x
  2. Step 2: Convert to fraction form
    11,938.68/17,788.06 = 11,268/x
  3. Step 3: Cross multiply
    11,938.68x = 17,788.06 × 11,268
  4. Step 4: Simplify right side
    11,938.68x = 200,435,860.08
  5. Step 5: Solve for x
    x = 200,435,860.08/11,938.68
  6. Step 6: Final answer
    x = 16,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.