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Finding the Fourth Proportional to 27,138.60, 40,643.10 and 21,954.60

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Solution

The fourth proportional to 27,138.60, 40,643.10 and 21,954.60 is: 32,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.60 : 40,643.10 = 21,954.60 : x
  2. Step 2: Convert to fraction form
    27,138.60/40,643.10 = 21,954.60/x
  3. Step 3: Cross multiply
    27,138.60x = 40,643.10 × 21,954.60
  4. Step 4: Simplify right side
    27,138.60x = 892,303,003.26
  5. Step 5: Solve for x
    x = 892,303,003.26/27,138.60
  6. Step 6: Final answer
    x = 32,879.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.