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Finding the Fourth Proportional to 4,850, 7,275 and 2,114

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Solution

The fourth proportional to 4,850, 7,275 and 2,114 is: 3,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850 : 7,275 = 2,114 : x
  2. Step 2: Convert to fraction form
    4,850/7,275 = 2,114/x
  3. Step 3: Cross multiply
    4,850x = 7,275 × 2,114
  4. Step 4: Simplify right side
    4,850x = 15,379,350
  5. Step 5: Solve for x
    x = 15,379,350/4,850
  6. Step 6: Final answer
    x = 3,171

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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.