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Finding the Fourth Proportional to 27,954, 41,931 and 7,177.50

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Solution

The fourth proportional to 27,954, 41,931 and 7,177.50 is: 10,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954 : 41,931 = 7,177.50 : x
  2. Step 2: Convert to fraction form
    27,954/41,931 = 7,177.50/x
  3. Step 3: Cross multiply
    27,954x = 41,931 × 7,177.50
  4. Step 4: Simplify right side
    27,954x = 300,959,752.50
  5. Step 5: Solve for x
    x = 300,959,752.50/27,954
  6. Step 6: Final answer
    x = 10,766.25

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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.