Home / 1,789.14-2,469-1,003.20

Finding the Fourth Proportional to 1,789.14, 2,469 and 1,003.20

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Solution

The fourth proportional to 1,789.14, 2,469 and 1,003.20 is: 1,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.14 : 2,469 = 1,003.20 : x
  2. Step 2: Convert to fraction form
    1,789.14/2,469 = 1,003.20/x
  3. Step 3: Cross multiply
    1,789.14x = 2,469 × 1,003.20
  4. Step 4: Simplify right side
    1,789.14x = 2,476,900.80
  5. Step 5: Solve for x
    x = 2,476,900.80/1,789.14
  6. Step 6: Final answer
    x = 1,384.41

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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.