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Finding the Fourth Proportional to 4,856, 7,284 and 1,208

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Solution

The fourth proportional to 4,856, 7,284 and 1,208 is: 1,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856 : 7,284 = 1,208 : x
  2. Step 2: Convert to fraction form
    4,856/7,284 = 1,208/x
  3. Step 3: Cross multiply
    4,856x = 7,284 × 1,208
  4. Step 4: Simplify right side
    4,856x = 8,799,072
  5. Step 5: Solve for x
    x = 8,799,072/4,856
  6. Step 6: Final answer
    x = 1,812

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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.