Home / 5,736-7,914.46-3,377.28

Finding the Fourth Proportional to 5,736, 7,914.46 and 3,377.28

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Solution

The fourth proportional to 5,736, 7,914.46 and 3,377.28 is: 4,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736 : 7,914.46 = 3,377.28 : x
  2. Step 2: Convert to fraction form
    5,736/7,914.46 = 3,377.28/x
  3. Step 3: Cross multiply
    5,736x = 7,914.46 × 3,377.28
  4. Step 4: Simplify right side
    5,736x = 26,729,347.47
  5. Step 5: Solve for x
    x = 26,729,347.47/5,736
  6. Step 6: Final answer
    x = 4,659.93

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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.