Home / 2,585.82-3,878.32-2,149.86

Finding the Fourth Proportional to 2,585.82, 3,878.32 and 2,149.86

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Solution

The fourth proportional to 2,585.82, 3,878.32 and 2,149.86 is: 3,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.82 : 3,878.32 = 2,149.86 : x
  2. Step 2: Convert to fraction form
    2,585.82/3,878.32 = 2,149.86/x
  3. Step 3: Cross multiply
    2,585.82x = 3,878.32 × 2,149.86
  4. Step 4: Simplify right side
    2,585.82x = 8,337,845.04
  5. Step 5: Solve for x
    x = 8,337,845.04/2,585.82
  6. Step 6: Final answer
    x = 3,224.45

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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.