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Finding the Fourth Proportional to 3,660.68, 5,051.73 and 1,982.10

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Solution

The fourth proportional to 3,660.68, 5,051.73 and 1,982.10 is: 2,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.68 : 5,051.73 = 1,982.10 : x
  2. Step 2: Convert to fraction form
    3,660.68/5,051.73 = 1,982.10/x
  3. Step 3: Cross multiply
    3,660.68x = 5,051.73 × 1,982.10
  4. Step 4: Simplify right side
    3,660.68x = 10,013,022.52
  5. Step 5: Solve for x
    x = 10,013,022.52/3,660.68
  6. Step 6: Final answer
    x = 2,735.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.