Home / 2,114.29-3,171.42-814.84

Finding the Fourth Proportional to 2,114.29, 3,171.42 and 814.84

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Solution

The fourth proportional to 2,114.29, 3,171.42 and 814.84 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.29 : 3,171.42 = 814.84 : x
  2. Step 2: Convert to fraction form
    2,114.29/3,171.42 = 814.84/x
  3. Step 3: Cross multiply
    2,114.29x = 3,171.42 × 814.84
  4. Step 4: Simplify right side
    2,114.29x = 2,584,199.87
  5. Step 5: Solve for x
    x = 2,584,199.87/2,114.29
  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.