Home / 1,982.28-2,735.93-1,142.96

Finding the Fourth Proportional to 1,982.28, 2,735.93 and 1,142.96

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Solution

The fourth proportional to 1,982.28, 2,735.93 and 1,142.96 is: 1,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.28 : 2,735.93 = 1,142.96 : x
  2. Step 2: Convert to fraction form
    1,982.28/2,735.93 = 1,142.96/x
  3. Step 3: Cross multiply
    1,982.28x = 2,735.93 × 1,142.96
  4. Step 4: Simplify right side
    1,982.28x = 3,127,047.73
  5. Step 5: Solve for x
    x = 3,127,047.73/1,982.28
  6. Step 6: Final answer
    x = 1,577.50

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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.