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Finding the Fourth Proportional to 6,482, 8,945.16 and 3,538

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Solution

The fourth proportional to 6,482, 8,945.16 and 3,538 is: 4,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482 : 8,945.16 = 3,538 : x
  2. Step 2: Convert to fraction form
    6,482/8,945.16 = 3,538/x
  3. Step 3: Cross multiply
    6,482x = 8,945.16 × 3,538
  4. Step 4: Simplify right side
    6,482x = 31,647,976.08
  5. Step 5: Solve for x
    x = 31,647,976.08/6,482
  6. Step 6: Final answer
    x = 4,882.44

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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.