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Finding the Fourth Proportional to 4,796.50, 7,194.75 and 1,333.75

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Solution

The fourth proportional to 4,796.50, 7,194.75 and 1,333.75 is: 2,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.50 : 7,194.75 = 1,333.75 : x
  2. Step 2: Convert to fraction form
    4,796.50/7,194.75 = 1,333.75/x
  3. Step 3: Cross multiply
    4,796.50x = 7,194.75 × 1,333.75
  4. Step 4: Simplify right side
    4,796.50x = 9,595,997.81
  5. Step 5: Solve for x
    x = 9,595,997.81/4,796.50
  6. Step 6: Final answer
    x = 2,000.63

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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.