Home / 1,989.09-2,984.66-819.96

Finding the Fourth Proportional to 1,989.09, 2,984.66 and 819.96

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Solution

The fourth proportional to 1,989.09, 2,984.66 and 819.96 is: 1,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.09 : 2,984.66 = 819.96 : x
  2. Step 2: Convert to fraction form
    1,989.09/2,984.66 = 819.96/x
  3. Step 3: Cross multiply
    1,989.09x = 2,984.66 × 819.96
  4. Step 4: Simplify right side
    1,989.09x = 2,447,286.89
  5. Step 5: Solve for x
    x = 2,447,286.89/1,989.09
  6. Step 6: Final answer
    x = 1,230.36

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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.