Home / 3,780.24-5,668.42-1,698.46

Finding the Fourth Proportional to 3,780.24, 5,668.42 and 1,698.46

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Solution

The fourth proportional to 3,780.24, 5,668.42 and 1,698.46 is: 2,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.24 : 5,668.42 = 1,698.46 : x
  2. Step 2: Convert to fraction form
    3,780.24/5,668.42 = 1,698.46/x
  3. Step 3: Cross multiply
    3,780.24x = 5,668.42 × 1,698.46
  4. Step 4: Simplify right side
    3,780.24x = 9,627,576.14
  5. Step 5: Solve for x
    x = 9,627,576.14/3,780.24
  6. Step 6: Final answer
    x = 2,546.82

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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.