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Finding the Fourth Proportional to 1,921.85, 2,882.87 and 996.83

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Solution

The fourth proportional to 1,921.85, 2,882.87 and 996.83 is: 1,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.85 : 2,882.87 = 996.83 : x
  2. Step 2: Convert to fraction form
    1,921.85/2,882.87 = 996.83/x
  3. Step 3: Cross multiply
    1,921.85x = 2,882.87 × 996.83
  4. Step 4: Simplify right side
    1,921.85x = 2,873,711.90
  5. Step 5: Solve for x
    x = 2,873,711.90/1,921.85
  6. Step 6: Final answer
    x = 1,495.28

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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.