Home / 2,099.14-3,147.42-712.37

Finding the Fourth Proportional to 2,099.14, 3,147.42 and 712.37

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Solution

The fourth proportional to 2,099.14, 3,147.42 and 712.37 is: 1,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.14 : 3,147.42 = 712.37 : x
  2. Step 2: Convert to fraction form
    2,099.14/3,147.42 = 712.37/x
  3. Step 3: Cross multiply
    2,099.14x = 3,147.42 × 712.37
  4. Step 4: Simplify right side
    2,099.14x = 2,242,138.13
  5. Step 5: Solve for x
    x = 2,242,138.13/2,099.14
  6. Step 6: Final answer
    x = 1,068.12

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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.