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Finding the Fourth Proportional to 3,282.87, 4,921.16 and 1,090.06

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Solution

The fourth proportional to 3,282.87, 4,921.16 and 1,090.06 is: 1,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.87 : 4,921.16 = 1,090.06 : x
  2. Step 2: Convert to fraction form
    3,282.87/4,921.16 = 1,090.06/x
  3. Step 3: Cross multiply
    3,282.87x = 4,921.16 × 1,090.06
  4. Step 4: Simplify right side
    3,282.87x = 5,364,348.05
  5. Step 5: Solve for x
    x = 5,364,348.05/3,282.87
  6. Step 6: Final answer
    x = 1,634.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.