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Finding the Fourth Proportional to 1,923.21, 2,882.99 and 826.88

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Solution

The fourth proportional to 1,923.21, 2,882.99 and 826.88 is: 1,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.21 : 2,882.99 = 826.88 : x
  2. Step 2: Convert to fraction form
    1,923.21/2,882.99 = 826.88/x
  3. Step 3: Cross multiply
    1,923.21x = 2,882.99 × 826.88
  4. Step 4: Simplify right side
    1,923.21x = 2,383,874.42
  5. Step 5: Solve for x
    x = 2,383,874.42/1,923.21
  6. Step 6: Final answer
    x = 1,239.53

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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.