Home / 2,028.52-3,042.64-1,054

Finding the Fourth Proportional to 2,028.52, 3,042.64 and 1,054

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Solution

The fourth proportional to 2,028.52, 3,042.64 and 1,054 is: 1,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.52 : 3,042.64 = 1,054 : x
  2. Step 2: Convert to fraction form
    2,028.52/3,042.64 = 1,054/x
  3. Step 3: Cross multiply
    2,028.52x = 3,042.64 × 1,054
  4. Step 4: Simplify right side
    2,028.52x = 3,206,942.56
  5. Step 5: Solve for x
    x = 3,206,942.56/2,028.52
  6. Step 6: Final answer
    x = 1,580.93

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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.