Home / 2,584.29-3,874.82-1,705.86

Finding the Fourth Proportional to 2,584.29, 3,874.82 and 1,705.86

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Solution

The fourth proportional to 2,584.29, 3,874.82 and 1,705.86 is: 2,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.29 : 3,874.82 = 1,705.86 : x
  2. Step 2: Convert to fraction form
    2,584.29/3,874.82 = 1,705.86/x
  3. Step 3: Cross multiply
    2,584.29x = 3,874.82 × 1,705.86
  4. Step 4: Simplify right side
    2,584.29x = 6,609,891.92
  5. Step 5: Solve for x
    x = 6,609,891.92/2,584.29
  6. Step 6: Final answer
    x = 2,557.72

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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.