Home / 5,684-7,845.20-3,696.80

Finding the Fourth Proportional to 5,684, 7,845.20 and 3,696.80

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Solution

The fourth proportional to 5,684, 7,845.20 and 3,696.80 is: 5,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 7,845.20 = 3,696.80 : x
  2. Step 2: Convert to fraction form
    5,684/7,845.20 = 3,696.80/x
  3. Step 3: Cross multiply
    5,684x = 7,845.20 × 3,696.80
  4. Step 4: Simplify right side
    5,684x = 29,002,135.36
  5. Step 5: Solve for x
    x = 29,002,135.36/5,684
  6. Step 6: Final answer
    x = 5,102.42

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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.