Home / 3,962-5,469.84-3,032.24

Finding the Fourth Proportional to 3,962, 5,469.84 and 3,032.24

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Solution

The fourth proportional to 3,962, 5,469.84 and 3,032.24 is: 4,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962 : 5,469.84 = 3,032.24 : x
  2. Step 2: Convert to fraction form
    3,962/5,469.84 = 3,032.24/x
  3. Step 3: Cross multiply
    3,962x = 5,469.84 × 3,032.24
  4. Step 4: Simplify right side
    3,962x = 16,585,867.64
  5. Step 5: Solve for x
    x = 16,585,867.64/3,962
  6. Step 6: Final answer
    x = 4,186.24

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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.