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Finding the Fourth Proportional to 27,420.66, 41,147.44 and 11,838.26

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Solution

The fourth proportional to 27,420.66, 41,147.44 and 11,838.26 is: 17,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.66 : 41,147.44 = 11,838.26 : x
  2. Step 2: Convert to fraction form
    27,420.66/41,147.44 = 11,838.26/x
  3. Step 3: Cross multiply
    27,420.66x = 41,147.44 × 11,838.26
  4. Step 4: Simplify right side
    27,420.66x = 487,114,093.05
  5. Step 5: Solve for x
    x = 487,114,093.05/27,420.66
  6. Step 6: Final answer
    x = 17,764.49

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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.