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Finding the Fourth Proportional to 3,223.43, 4,836.29 and 1,989.40

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Solution

The fourth proportional to 3,223.43, 4,836.29 and 1,989.40 is: 2,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.43 : 4,836.29 = 1,989.40 : x
  2. Step 2: Convert to fraction form
    3,223.43/4,836.29 = 1,989.40/x
  3. Step 3: Cross multiply
    3,223.43x = 4,836.29 × 1,989.40
  4. Step 4: Simplify right side
    3,223.43x = 9,621,315.33
  5. Step 5: Solve for x
    x = 9,621,315.33/3,223.43
  6. Step 6: Final answer
    x = 2,984.81

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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.