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Finding the Fourth Proportional to 2,909.70, 4,361.87 and 1,982.26

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Solution

The fourth proportional to 2,909.70, 4,361.87 and 1,982.26 is: 2,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.70 : 4,361.87 = 1,982.26 : x
  2. Step 2: Convert to fraction form
    2,909.70/4,361.87 = 1,982.26/x
  3. Step 3: Cross multiply
    2,909.70x = 4,361.87 × 1,982.26
  4. Step 4: Simplify right side
    2,909.70x = 8,646,360.43
  5. Step 5: Solve for x
    x = 8,646,360.43/2,909.70
  6. Step 6: Final answer
    x = 2,971.56

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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.