Home / 1,682.33-2,321.74-974.36

Finding the Fourth Proportional to 1,682.33, 2,321.74 and 974.36

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Solution

The fourth proportional to 1,682.33, 2,321.74 and 974.36 is: 1,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.33 : 2,321.74 = 974.36 : x
  2. Step 2: Convert to fraction form
    1,682.33/2,321.74 = 974.36/x
  3. Step 3: Cross multiply
    1,682.33x = 2,321.74 × 974.36
  4. Step 4: Simplify right side
    1,682.33x = 2,262,214.87
  5. Step 5: Solve for x
    x = 2,262,214.87/1,682.33
  6. Step 6: Final answer
    x = 1,344.69

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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.