Home / 1,682.48-2,321.58-983.72

Finding the Fourth Proportional to 1,682.48, 2,321.58 and 983.72

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Solution

The fourth proportional to 1,682.48, 2,321.58 and 983.72 is: 1,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.48 : 2,321.58 = 983.72 : x
  2. Step 2: Convert to fraction form
    1,682.48/2,321.58 = 983.72/x
  3. Step 3: Cross multiply
    1,682.48x = 2,321.58 × 983.72
  4. Step 4: Simplify right side
    1,682.48x = 2,283,784.68
  5. Step 5: Solve for x
    x = 2,283,784.68/1,682.48
  6. Step 6: Final answer
    x = 1,357.39

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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.