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Finding the Fourth Proportional to 6,438.33, 9,653.81 and 3,432.68

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Solution

The fourth proportional to 6,438.33, 9,653.81 and 3,432.68 is: 5,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.33 : 9,653.81 = 3,432.68 : x
  2. Step 2: Convert to fraction form
    6,438.33/9,653.81 = 3,432.68/x
  3. Step 3: Cross multiply
    6,438.33x = 9,653.81 × 3,432.68
  4. Step 4: Simplify right side
    6,438.33x = 33,138,375.08
  5. Step 5: Solve for x
    x = 33,138,375.08/6,438.33
  6. Step 6: Final answer
    x = 5,147.05

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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.