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Finding the Fourth Proportional to 1,983.70, 2,976.09 and 942.85

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Solution

The fourth proportional to 1,983.70, 2,976.09 and 942.85 is: 1,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.70 : 2,976.09 = 942.85 : x
  2. Step 2: Convert to fraction form
    1,983.70/2,976.09 = 942.85/x
  3. Step 3: Cross multiply
    1,983.70x = 2,976.09 × 942.85
  4. Step 4: Simplify right side
    1,983.70x = 2,806,006.46
  5. Step 5: Solve for x
    x = 2,806,006.46/1,983.70
  6. Step 6: Final answer
    x = 1,414.53

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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.