Home / 3,538-4,882.48-1,966.16

Finding the Fourth Proportional to 3,538, 4,882.48 and 1,966.16

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Solution

The fourth proportional to 3,538, 4,882.48 and 1,966.16 is: 2,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 4,882.48 = 1,966.16 : x
  2. Step 2: Convert to fraction form
    3,538/4,882.48 = 1,966.16/x
  3. Step 3: Cross multiply
    3,538x = 4,882.48 × 1,966.16
  4. Step 4: Simplify right side
    3,538x = 9,599,736.88
  5. Step 5: Solve for x
    x = 9,599,736.88/3,538
  6. Step 6: Final answer
    x = 2,713.32

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1.5x scale

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.