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Finding the Fourth Proportional to 3,922, 5,880.96 and 1,324

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Solution

The fourth proportional to 3,922, 5,880.96 and 1,324 is: 1,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922 : 5,880.96 = 1,324 : x
  2. Step 2: Convert to fraction form
    3,922/5,880.96 = 1,324/x
  3. Step 3: Cross multiply
    3,922x = 5,880.96 × 1,324
  4. Step 4: Simplify right side
    3,922x = 7,786,391.04
  5. Step 5: Solve for x
    x = 7,786,391.04/3,922
  6. Step 6: Final answer
    x = 1,985.31

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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.