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Finding the Fourth Proportional to 3,638.76, 5,459.94 and 1,447.44

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Solution

The fourth proportional to 3,638.76, 5,459.94 and 1,447.44 is: 2,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.76 : 5,459.94 = 1,447.44 : x
  2. Step 2: Convert to fraction form
    3,638.76/5,459.94 = 1,447.44/x
  3. Step 3: Cross multiply
    3,638.76x = 5,459.94 × 1,447.44
  4. Step 4: Simplify right side
    3,638.76x = 7,902,935.55
  5. Step 5: Solve for x
    x = 7,902,935.55/3,638.76
  6. Step 6: Final answer
    x = 2,171.88

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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.