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Finding the Fourth Proportional to 27,541, 41,311.40 and 7,819.56

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Solution

The fourth proportional to 27,541, 41,311.40 and 7,819.56 is: 11,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541 : 41,311.40 = 7,819.56 : x
  2. Step 2: Convert to fraction form
    27,541/41,311.40 = 7,819.56/x
  3. Step 3: Cross multiply
    27,541x = 41,311.40 × 7,819.56
  4. Step 4: Simplify right side
    27,541x = 323,036,970.98
  5. Step 5: Solve for x
    x = 323,036,970.98/27,541
  6. Step 6: Final answer
    x = 11,729.31

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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.