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Finding the Fourth Proportional to 27,967.04, 41,940 and 8,240

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Solution

The fourth proportional to 27,967.04, 41,940 and 8,240 is: 12,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.04 : 41,940 = 8,240 : x
  2. Step 2: Convert to fraction form
    27,967.04/41,940 = 8,240/x
  3. Step 3: Cross multiply
    27,967.04x = 41,940 × 8,240
  4. Step 4: Simplify right side
    27,967.04x = 345,585,600
  5. Step 5: Solve for x
    x = 345,585,600/27,967.04
  6. Step 6: Final answer
    x = 12,356.89

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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.