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Finding the Fourth Proportional to 3,819.07, 5,729.12 and 1,186.98

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Solution

The fourth proportional to 3,819.07, 5,729.12 and 1,186.98 is: 1,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.07 : 5,729.12 = 1,186.98 : x
  2. Step 2: Convert to fraction form
    3,819.07/5,729.12 = 1,186.98/x
  3. Step 3: Cross multiply
    3,819.07x = 5,729.12 × 1,186.98
  4. Step 4: Simplify right side
    3,819.07x = 6,800,349.84
  5. Step 5: Solve for x
    x = 6,800,349.84/3,819.07
  6. Step 6: Final answer
    x = 1,780.63

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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.