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Finding the Fourth Proportional to 1,683.98, 2,324.21 and 1,021.19

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Solution

The fourth proportional to 1,683.98, 2,324.21 and 1,021.19 is: 1,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.98 : 2,324.21 = 1,021.19 : x
  2. Step 2: Convert to fraction form
    1,683.98/2,324.21 = 1,021.19/x
  3. Step 3: Cross multiply
    1,683.98x = 2,324.21 × 1,021.19
  4. Step 4: Simplify right side
    1,683.98x = 2,373,460.01
  5. Step 5: Solve for x
    x = 2,373,460.01/1,683.98
  6. Step 6: Final answer
    x = 1,409.43

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