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Finding the Fourth Proportional to 19,879, 27,438.78 and 13,255

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Solution

The fourth proportional to 19,879, 27,438.78 and 13,255 is: 18,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879 : 27,438.78 = 13,255 : x
  2. Step 2: Convert to fraction form
    19,879/27,438.78 = 13,255/x
  3. Step 3: Cross multiply
    19,879x = 27,438.78 × 13,255
  4. Step 4: Simplify right side
    19,879x = 363,701,028.90
  5. Step 5: Solve for x
    x = 363,701,028.90/19,879
  6. Step 6: Final answer
    x = 18,295.74

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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.