Home / 2,120.36-3,178.92-1,427

Finding the Fourth Proportional to 2,120.36, 3,178.92 and 1,427

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Solution

The fourth proportional to 2,120.36, 3,178.92 and 1,427 is: 2,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.36 : 3,178.92 = 1,427 : x
  2. Step 2: Convert to fraction form
    2,120.36/3,178.92 = 1,427/x
  3. Step 3: Cross multiply
    2,120.36x = 3,178.92 × 1,427
  4. Step 4: Simplify right side
    2,120.36x = 4,536,318.84
  5. Step 5: Solve for x
    x = 4,536,318.84/2,120.36
  6. Step 6: Final answer
    x = 2,139.41

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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.