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Finding the Fourth Proportional to 6,442.56, 9,661.60 and 1,824.48

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Solution

The fourth proportional to 6,442.56, 9,661.60 and 1,824.48 is: 2,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.56 : 9,661.60 = 1,824.48 : x
  2. Step 2: Convert to fraction form
    6,442.56/9,661.60 = 1,824.48/x
  3. Step 3: Cross multiply
    6,442.56x = 9,661.60 × 1,824.48
  4. Step 4: Simplify right side
    6,442.56x = 17,627,395.97
  5. Step 5: Solve for x
    x = 17,627,395.97/6,442.56
  6. Step 6: Final answer
    x = 2,736.09

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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.