Home / 3,829.80-5,742.78-2,097

Finding the Fourth Proportional to 3,829.80, 5,742.78 and 2,097

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Solution

The fourth proportional to 3,829.80, 5,742.78 and 2,097 is: 3,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.80 : 5,742.78 = 2,097 : x
  2. Step 2: Convert to fraction form
    3,829.80/5,742.78 = 2,097/x
  3. Step 3: Cross multiply
    3,829.80x = 5,742.78 × 2,097
  4. Step 4: Simplify right side
    3,829.80x = 12,042,609.66
  5. Step 5: Solve for x
    x = 12,042,609.66/3,829.80
  6. Step 6: Final answer
    x = 3,144.45

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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.