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Finding the Fourth Proportional to 1,986.93, 2,982.02 and 1,013.31

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Solution

The fourth proportional to 1,986.93, 2,982.02 and 1,013.31 is: 1,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.93 : 2,982.02 = 1,013.31 : x
  2. Step 2: Convert to fraction form
    1,986.93/2,982.02 = 1,013.31/x
  3. Step 3: Cross multiply
    1,986.93x = 2,982.02 × 1,013.31
  4. Step 4: Simplify right side
    1,986.93x = 3,021,705.62
  5. Step 5: Solve for x
    x = 3,021,705.62/1,986.93
  6. Step 6: Final answer
    x = 1,520.79

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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.