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Finding the Fourth Proportional to 3,489.70, 5,230.15 and 1,846.98

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Solution

The fourth proportional to 3,489.70, 5,230.15 and 1,846.98 is: 2,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.70 : 5,230.15 = 1,846.98 : x
  2. Step 2: Convert to fraction form
    3,489.70/5,230.15 = 1,846.98/x
  3. Step 3: Cross multiply
    3,489.70x = 5,230.15 × 1,846.98
  4. Step 4: Simplify right side
    3,489.70x = 9,659,982.45
  5. Step 5: Solve for x
    x = 9,659,982.45/3,489.70
  6. Step 6: Final answer
    x = 2,768.14

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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.