Home / 1,684.20-2,324.24-938.12

Finding the Fourth Proportional to 1,684.20, 2,324.24 and 938.12

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Solution

The fourth proportional to 1,684.20, 2,324.24 and 938.12 is: 1,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.20 : 2,324.24 = 938.12 : x
  2. Step 2: Convert to fraction form
    1,684.20/2,324.24 = 938.12/x
  3. Step 3: Cross multiply
    1,684.20x = 2,324.24 × 938.12
  4. Step 4: Simplify right side
    1,684.20x = 2,180,416.03
  5. Step 5: Solve for x
    x = 2,180,416.03/1,684.20
  6. Step 6: Final answer
    x = 1,294.63

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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.