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Finding the Fourth Proportional to 1,989.24, 2,982.90 and 833.88

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Solution

The fourth proportional to 1,989.24, 2,982.90 and 833.88 is: 1,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.24 : 2,982.90 = 833.88 : x
  2. Step 2: Convert to fraction form
    1,989.24/2,982.90 = 833.88/x
  3. Step 3: Cross multiply
    1,989.24x = 2,982.90 × 833.88
  4. Step 4: Simplify right side
    1,989.24x = 2,487,380.65
  5. Step 5: Solve for x
    x = 2,487,380.65/1,989.24
  6. Step 6: Final answer
    x = 1,250.42

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1.5x scale

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.