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Finding the Fourth Proportional to 3,829, 5,284.10 and 2,173

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Solution

The fourth proportional to 3,829, 5,284.10 and 2,173 is: 2,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,284.10 = 2,173 : x
  2. Step 2: Convert to fraction form
    3,829/5,284.10 = 2,173/x
  3. Step 3: Cross multiply
    3,829x = 5,284.10 × 2,173
  4. Step 4: Simplify right side
    3,829x = 11,482,349.30
  5. Step 5: Solve for x
    x = 11,482,349.30/3,829
  6. Step 6: Final answer
    x = 2,998.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.