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Finding the Fourth Proportional to 3,538, 4,882.98 and 2,141.56

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Solution

The fourth proportional to 3,538, 4,882.98 and 2,141.56 is: 2,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 4,882.98 = 2,141.56 : x
  2. Step 2: Convert to fraction form
    3,538/4,882.98 = 2,141.56/x
  3. Step 3: Cross multiply
    3,538x = 4,882.98 × 2,141.56
  4. Step 4: Simplify right side
    3,538x = 10,457,194.65
  5. Step 5: Solve for x
    x = 10,457,194.65/3,538
  6. Step 6: Final answer
    x = 2,955.68

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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.