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Finding the Fourth Proportional to 6,419.84, 9,644.28 and 3,824.48

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Solution

The fourth proportional to 6,419.84, 9,644.28 and 3,824.48 is: 5,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.84 : 9,644.28 = 3,824.48 : x
  2. Step 2: Convert to fraction form
    6,419.84/9,644.28 = 3,824.48/x
  3. Step 3: Cross multiply
    6,419.84x = 9,644.28 × 3,824.48
  4. Step 4: Simplify right side
    6,419.84x = 36,884,355.97
  5. Step 5: Solve for x
    x = 36,884,355.97/6,419.84
  6. Step 6: Final answer
    x = 5,745.37

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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.