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Finding the Fourth Proportional to 1,864.02, 2,792.79 and 996.78

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Solution

The fourth proportional to 1,864.02, 2,792.79 and 996.78 is: 1,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.02 : 2,792.79 = 996.78 : x
  2. Step 2: Convert to fraction form
    1,864.02/2,792.79 = 996.78/x
  3. Step 3: Cross multiply
    1,864.02x = 2,792.79 × 996.78
  4. Step 4: Simplify right side
    1,864.02x = 2,783,797.22
  5. Step 5: Solve for x
    x = 2,783,797.22/1,864.02
  6. Step 6: Final answer
    x = 1,493.44

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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.