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Finding the Fourth Proportional to 27,956, 41,934 and 7,179.50

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Solution

The fourth proportional to 27,956, 41,934 and 7,179.50 is: 10,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,956 : 41,934 = 7,179.50 : x
  2. Step 2: Convert to fraction form
    27,956/41,934 = 7,179.50/x
  3. Step 3: Cross multiply
    27,956x = 41,934 × 7,179.50
  4. Step 4: Simplify right side
    27,956x = 301,065,153
  5. Step 5: Solve for x
    x = 301,065,153/27,956
  6. Step 6: Final answer
    x = 10,769.25

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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.