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Finding the Fourth Proportional to 2,601, 3,902.40 and 1,447.56

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Solution

The fourth proportional to 2,601, 3,902.40 and 1,447.56 is: 2,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,902.40 = 1,447.56 : x
  2. Step 2: Convert to fraction form
    2,601/3,902.40 = 1,447.56/x
  3. Step 3: Cross multiply
    2,601x = 3,902.40 × 1,447.56
  4. Step 4: Simplify right side
    2,601x = 5,648,958.14
  5. Step 5: Solve for x
    x = 5,648,958.14/2,601
  6. Step 6: Final answer
    x = 2,171.84

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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.