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Finding the Fourth Proportional to 3,502.82, 5,254.46 and 1,422.80

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Solution

The fourth proportional to 3,502.82, 5,254.46 and 1,422.80 is: 2,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.82 : 5,254.46 = 1,422.80 : x
  2. Step 2: Convert to fraction form
    3,502.82/5,254.46 = 1,422.80/x
  3. Step 3: Cross multiply
    3,502.82x = 5,254.46 × 1,422.80
  4. Step 4: Simplify right side
    3,502.82x = 7,476,012.30
  5. Step 5: Solve for x
    x = 7,476,012.30/3,502.82
  6. Step 6: Final answer
    x = 2,134.29

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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.