Home / 5,739-7,920.78-3,256.44

Finding the Fourth Proportional to 5,739, 7,920.78 and 3,256.44

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Solution

The fourth proportional to 5,739, 7,920.78 and 3,256.44 is: 4,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739 : 7,920.78 = 3,256.44 : x
  2. Step 2: Convert to fraction form
    5,739/7,920.78 = 3,256.44/x
  3. Step 3: Cross multiply
    5,739x = 7,920.78 × 3,256.44
  4. Step 4: Simplify right side
    5,739x = 25,793,544.82
  5. Step 5: Solve for x
    x = 25,793,544.82/5,739
  6. Step 6: Final answer
    x = 4,494.43

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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.