Home / 2,096.87-3,142.19-1,401.14

Finding the Fourth Proportional to 2,096.87, 3,142.19 and 1,401.14

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Solution

The fourth proportional to 2,096.87, 3,142.19 and 1,401.14 is: 2,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.87 : 3,142.19 = 1,401.14 : x
  2. Step 2: Convert to fraction form
    2,096.87/3,142.19 = 1,401.14/x
  3. Step 3: Cross multiply
    2,096.87x = 3,142.19 × 1,401.14
  4. Step 4: Simplify right side
    2,096.87x = 4,402,659.45
  5. Step 5: Solve for x
    x = 4,402,659.45/2,096.87
  6. Step 6: Final answer
    x = 2,099.64

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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.