Home / 1,902.33-2,854.44-1,284.68

Finding the Fourth Proportional to 1,902.33, 2,854.44 and 1,284.68

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Solution

The fourth proportional to 1,902.33, 2,854.44 and 1,284.68 is: 1,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.33 : 2,854.44 = 1,284.68 : x
  2. Step 2: Convert to fraction form
    1,902.33/2,854.44 = 1,284.68/x
  3. Step 3: Cross multiply
    1,902.33x = 2,854.44 × 1,284.68
  4. Step 4: Simplify right side
    1,902.33x = 3,667,053.93
  5. Step 5: Solve for x
    x = 3,667,053.93/1,902.33
  6. Step 6: Final answer
    x = 1,927.66

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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.