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Finding the Fourth Proportional to 3,546.82, 4,896.36 and 2,748.38

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Solution

The fourth proportional to 3,546.82, 4,896.36 and 2,748.38 is: 3,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.82 : 4,896.36 = 2,748.38 : x
  2. Step 2: Convert to fraction form
    3,546.82/4,896.36 = 2,748.38/x
  3. Step 3: Cross multiply
    3,546.82x = 4,896.36 × 2,748.38
  4. Step 4: Simplify right side
    3,546.82x = 13,457,057.90
  5. Step 5: Solve for x
    x = 13,457,057.90/3,546.82
  6. Step 6: Final answer
    x = 3,794.12

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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.