Home / 1,471.31-2,028.26-1,027.83

Finding the Fourth Proportional to 1,471.31, 2,028.26 and 1,027.83

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Solution

The fourth proportional to 1,471.31, 2,028.26 and 1,027.83 is: 1,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.31 : 2,028.26 = 1,027.83 : x
  2. Step 2: Convert to fraction form
    1,471.31/2,028.26 = 1,027.83/x
  3. Step 3: Cross multiply
    1,471.31x = 2,028.26 × 1,027.83
  4. Step 4: Simplify right side
    1,471.31x = 2,084,709.05
  5. Step 5: Solve for x
    x = 2,084,709.05/1,471.31
  6. Step 6: Final answer
    x = 1,416.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.