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Finding the Fourth Proportional to 20,290.87, 27,978.61 and 13,111.33

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Solution

The fourth proportional to 20,290.87, 27,978.61 and 13,111.33 is: 18,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.87 : 27,978.61 = 13,111.33 : x
  2. Step 2: Convert to fraction form
    20,290.87/27,978.61 = 13,111.33/x
  3. Step 3: Cross multiply
    20,290.87x = 27,978.61 × 13,111.33
  4. Step 4: Simplify right side
    20,290.87x = 366,836,788.65
  5. Step 5: Solve for x
    x = 366,836,788.65/20,290.87
  6. Step 6: Final answer
    x = 18,078.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.