Home / 1,684.23-2,324.36-1,020.97

Finding the Fourth Proportional to 1,684.23, 2,324.36 and 1,020.97

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Solution

The fourth proportional to 1,684.23, 2,324.36 and 1,020.97 is: 1,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.23 : 2,324.36 = 1,020.97 : x
  2. Step 2: Convert to fraction form
    1,684.23/2,324.36 = 1,020.97/x
  3. Step 3: Cross multiply
    1,684.23x = 2,324.36 × 1,020.97
  4. Step 4: Simplify right side
    1,684.23x = 2,373,107.29
  5. Step 5: Solve for x
    x = 2,373,107.29/1,684.23
  6. Step 6: Final answer
    x = 1,409.02

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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.