Home / 2,099.40-3,150.78-2,027.64

Finding the Fourth Proportional to 2,099.40, 3,150.78 and 2,027.64

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Solution

The fourth proportional to 2,099.40, 3,150.78 and 2,027.64 is: 3,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.40 : 3,150.78 = 2,027.64 : x
  2. Step 2: Convert to fraction form
    2,099.40/3,150.78 = 2,027.64/x
  3. Step 3: Cross multiply
    2,099.40x = 3,150.78 × 2,027.64
  4. Step 4: Simplify right side
    2,099.40x = 6,388,647.56
  5. Step 5: Solve for x
    x = 6,388,647.56/2,099.40
  6. Step 6: Final answer
    x = 3,043.08

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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.