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Finding the Fourth Proportional to 1,991.41, 2,982.25 and 1,719.25

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Solution

The fourth proportional to 1,991.41, 2,982.25 and 1,719.25 is: 2,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.41 : 2,982.25 = 1,719.25 : x
  2. Step 2: Convert to fraction form
    1,991.41/2,982.25 = 1,719.25/x
  3. Step 3: Cross multiply
    1,991.41x = 2,982.25 × 1,719.25
  4. Step 4: Simplify right side
    1,991.41x = 5,127,233.31
  5. Step 5: Solve for x
    x = 5,127,233.31/1,991.41
  6. Step 6: Final answer
    x = 2,574.67

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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.