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Finding the Fourth Proportional to 4,857, 7,279.74 and 2,221.50

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Solution

The fourth proportional to 4,857, 7,279.74 and 2,221.50 is: 3,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 7,279.74 = 2,221.50 : x
  2. Step 2: Convert to fraction form
    4,857/7,279.74 = 2,221.50/x
  3. Step 3: Cross multiply
    4,857x = 7,279.74 × 2,221.50
  4. Step 4: Simplify right side
    4,857x = 16,171,942.41
  5. Step 5: Solve for x
    x = 16,171,942.41/4,857
  6. Step 6: Final answer
    x = 3,329.62

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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.