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Finding the Fourth Proportional to 27,427.50, 41,144.49 and 8,959.50

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Solution

The fourth proportional to 27,427.50, 41,144.49 and 8,959.50 is: 13,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.50 : 41,144.49 = 8,959.50 : x
  2. Step 2: Convert to fraction form
    27,427.50/41,144.49 = 8,959.50/x
  3. Step 3: Cross multiply
    27,427.50x = 41,144.49 × 8,959.50
  4. Step 4: Simplify right side
    27,427.50x = 368,634,058.16
  5. Step 5: Solve for x
    x = 368,634,058.16/27,427.50
  6. Step 6: Final answer
    x = 13,440.31

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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.