Home / 1,682.25-2,321.72-983.63

Finding the Fourth Proportional to 1,682.25, 2,321.72 and 983.63

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Solution

The fourth proportional to 1,682.25, 2,321.72 and 983.63 is: 1,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.25 : 2,321.72 = 983.63 : x
  2. Step 2: Convert to fraction form
    1,682.25/2,321.72 = 983.63/x
  3. Step 3: Cross multiply
    1,682.25x = 2,321.72 × 983.63
  4. Step 4: Simplify right side
    1,682.25x = 2,283,696.92
  5. Step 5: Solve for x
    x = 2,283,696.92/1,682.25
  6. Step 6: Final answer
    x = 1,357.53

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1.5x scale

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.