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Finding the Fourth Proportional to 3,781.98, 5,672.10 and 1,442.25

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Solution

The fourth proportional to 3,781.98, 5,672.10 and 1,442.25 is: 2,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.98 : 5,672.10 = 1,442.25 : x
  2. Step 2: Convert to fraction form
    3,781.98/5,672.10 = 1,442.25/x
  3. Step 3: Cross multiply
    3,781.98x = 5,672.10 × 1,442.25
  4. Step 4: Simplify right side
    3,781.98x = 8,180,586.23
  5. Step 5: Solve for x
    x = 8,180,586.23/3,781.98
  6. Step 6: Final answer
    x = 2,163.04

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1.5x scale

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.