Home / 2,071.14-3,105.18-683.68

Finding the Fourth Proportional to 2,071.14, 3,105.18 and 683.68

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Solution

The fourth proportional to 2,071.14, 3,105.18 and 683.68 is: 1,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.14 : 3,105.18 = 683.68 : x
  2. Step 2: Convert to fraction form
    2,071.14/3,105.18 = 683.68/x
  3. Step 3: Cross multiply
    2,071.14x = 3,105.18 × 683.68
  4. Step 4: Simplify right side
    2,071.14x = 2,122,949.46
  5. Step 5: Solve for x
    x = 2,122,949.46/2,071.14
  6. Step 6: Final answer
    x = 1,025.01

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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.