Home / 3,538-4,882.44-1,966.09

Finding the Fourth Proportional to 3,538, 4,882.44 and 1,966.09

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Solution

The fourth proportional to 3,538, 4,882.44 and 1,966.09 is: 2,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 4,882.44 = 1,966.09 : x
  2. Step 2: Convert to fraction form
    3,538/4,882.44 = 1,966.09/x
  3. Step 3: Cross multiply
    3,538x = 4,882.44 × 1,966.09
  4. Step 4: Simplify right side
    3,538x = 9,599,316.46
  5. Step 5: Solve for x
    x = 9,599,316.46/3,538
  6. Step 6: Final answer
    x = 2,713.20

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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.