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Finding the Fourth Proportional to 2,842.81, 3,921.42 and 1,958.56

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Solution

The fourth proportional to 2,842.81, 3,921.42 and 1,958.56 is: 2,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.81 : 3,921.42 = 1,958.56 : x
  2. Step 2: Convert to fraction form
    2,842.81/3,921.42 = 1,958.56/x
  3. Step 3: Cross multiply
    2,842.81x = 3,921.42 × 1,958.56
  4. Step 4: Simplify right side
    2,842.81x = 7,680,336.36
  5. Step 5: Solve for x
    x = 7,680,336.36/2,842.81
  6. Step 6: Final answer
    x = 2,701.67

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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.