Home / 2,131.39-3,197.07-814.84

Finding the Fourth Proportional to 2,131.39, 3,197.07 and 814.84

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Solution

The fourth proportional to 2,131.39, 3,197.07 and 814.84 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.39 : 3,197.07 = 814.84 : x
  2. Step 2: Convert to fraction form
    2,131.39/3,197.07 = 814.84/x
  3. Step 3: Cross multiply
    2,131.39x = 3,197.07 × 814.84
  4. Step 4: Simplify right side
    2,131.39x = 2,605,094.05
  5. Step 5: Solve for x
    x = 2,605,094.05/2,131.39
  6. Step 6: Final answer
    x = 1,222.25

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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.