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Finding the Fourth Proportional to 3,110.70, 4,662.27 and 1,938.90

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Solution

The fourth proportional to 3,110.70, 4,662.27 and 1,938.90 is: 2,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.70 : 4,662.27 = 1,938.90 : x
  2. Step 2: Convert to fraction form
    3,110.70/4,662.27 = 1,938.90/x
  3. Step 3: Cross multiply
    3,110.70x = 4,662.27 × 1,938.90
  4. Step 4: Simplify right side
    3,110.70x = 9,039,675.30
  5. Step 5: Solve for x
    x = 9,039,675.30/3,110.70
  6. Step 6: Final answer
    x = 2,905.99

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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.