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Finding the Fourth Proportional to 3,459.87, 5,190.57 and 994.50

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Solution

The fourth proportional to 3,459.87, 5,190.57 and 994.50 is: 1,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.87 : 5,190.57 = 994.50 : x
  2. Step 2: Convert to fraction form
    3,459.87/5,190.57 = 994.50/x
  3. Step 3: Cross multiply
    3,459.87x = 5,190.57 × 994.50
  4. Step 4: Simplify right side
    3,459.87x = 5,162,021.87
  5. Step 5: Solve for x
    x = 5,162,021.87/3,459.87
  6. Step 6: Final answer
    x = 1,491.97

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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.