Home / 1,982.13-2,735.31-1,142.52

Finding the Fourth Proportional to 1,982.13, 2,735.31 and 1,142.52

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Solution

The fourth proportional to 1,982.13, 2,735.31 and 1,142.52 is: 1,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.13 : 2,735.31 = 1,142.52 : x
  2. Step 2: Convert to fraction form
    1,982.13/2,735.31 = 1,142.52/x
  3. Step 3: Cross multiply
    1,982.13x = 2,735.31 × 1,142.52
  4. Step 4: Simplify right side
    1,982.13x = 3,125,146.38
  5. Step 5: Solve for x
    x = 3,125,146.38/1,982.13
  6. Step 6: Final answer
    x = 1,576.66

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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.