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Finding the Fourth Proportional to 1,920.35, 2,882.37 and 996.54

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Solution

The fourth proportional to 1,920.35, 2,882.37 and 996.54 is: 1,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.35 : 2,882.37 = 996.54 : x
  2. Step 2: Convert to fraction form
    1,920.35/2,882.37 = 996.54/x
  3. Step 3: Cross multiply
    1,920.35x = 2,882.37 × 996.54
  4. Step 4: Simplify right side
    1,920.35x = 2,872,397.00
  5. Step 5: Solve for x
    x = 2,872,397.00/1,920.35
  6. Step 6: Final answer
    x = 1,495.77

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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.