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Finding the Fourth Proportional to 4,183, 6,274.62 and 1,105

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Solution

The fourth proportional to 4,183, 6,274.62 and 1,105 is: 1,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183 : 6,274.62 = 1,105 : x
  2. Step 2: Convert to fraction form
    4,183/6,274.62 = 1,105/x
  3. Step 3: Cross multiply
    4,183x = 6,274.62 × 1,105
  4. Step 4: Simplify right side
    4,183x = 6,933,455.10
  5. Step 5: Solve for x
    x = 6,933,455.10/4,183
  6. Step 6: Final answer
    x = 1,657.53

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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.