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Finding the Fourth Proportional to 3,829, 5,745.66 and 1,777

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Solution

The fourth proportional to 3,829, 5,745.66 and 1,777 is: 2,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,745.66 = 1,777 : x
  2. Step 2: Convert to fraction form
    3,829/5,745.66 = 1,777/x
  3. Step 3: Cross multiply
    3,829x = 5,745.66 × 1,777
  4. Step 4: Simplify right side
    3,829x = 10,210,037.82
  5. Step 5: Solve for x
    x = 10,210,037.82/3,829
  6. Step 6: Final answer
    x = 2,666.50

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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.