Home / 3,834.88-5,746.75-2,078.39

Finding the Fourth Proportional to 3,834.88, 5,746.75 and 2,078.39

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Solution

The fourth proportional to 3,834.88, 5,746.75 and 2,078.39 is: 3,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.88 : 5,746.75 = 2,078.39 : x
  2. Step 2: Convert to fraction form
    3,834.88/5,746.75 = 2,078.39/x
  3. Step 3: Cross multiply
    3,834.88x = 5,746.75 × 2,078.39
  4. Step 4: Simplify right side
    3,834.88x = 11,943,996.90
  5. Step 5: Solve for x
    x = 11,943,996.90/3,834.88
  6. Step 6: Final answer
    x = 3,114.57

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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.