Home / 1,682.09-2,321.63-983.69

Finding the Fourth Proportional to 1,682.09, 2,321.63 and 983.69

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Solution

The fourth proportional to 1,682.09, 2,321.63 and 983.69 is: 1,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.09 : 2,321.63 = 983.69 : x
  2. Step 2: Convert to fraction form
    1,682.09/2,321.63 = 983.69/x
  3. Step 3: Cross multiply
    1,682.09x = 2,321.63 × 983.69
  4. Step 4: Simplify right side
    1,682.09x = 2,283,759.30
  5. Step 5: Solve for x
    x = 2,283,759.30/1,682.09
  6. Step 6: Final answer
    x = 1,357.69

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Half scale
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Double scale
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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.