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Finding the Fourth Proportional to 2,130.89, 3,194.44 and 833.27

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Solution

The fourth proportional to 2,130.89, 3,194.44 and 833.27 is: 1,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.89 : 3,194.44 = 833.27 : x
  2. Step 2: Convert to fraction form
    2,130.89/3,194.44 = 833.27/x
  3. Step 3: Cross multiply
    2,130.89x = 3,194.44 × 833.27
  4. Step 4: Simplify right side
    2,130.89x = 2,661,831.02
  5. Step 5: Solve for x
    x = 2,661,831.02/2,130.89
  6. Step 6: Final answer
    x = 1,249.16

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Double scale
Find fourth proportional to 2,131.89, 3,195.94 and 834.27
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.