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Finding the Fourth Proportional to 6,442.56, 9,663.52 and 3,775.64

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Solution

The fourth proportional to 6,442.56, 9,663.52 and 3,775.64 is: 5,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.56 : 9,663.52 = 3,775.64 : x
  2. Step 2: Convert to fraction form
    6,442.56/9,663.52 = 3,775.64/x
  3. Step 3: Cross multiply
    6,442.56x = 9,663.52 × 3,775.64
  4. Step 4: Simplify right side
    6,442.56x = 36,485,972.65
  5. Step 5: Solve for x
    x = 36,485,972.65/6,442.56
  6. Step 6: Final answer
    x = 5,663.27

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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.