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Finding the Fourth Proportional to 9,375.21, 12,932.06 and 6,392.43

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Solution

The fourth proportional to 9,375.21, 12,932.06 and 6,392.43 is: 8,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.21 : 12,932.06 = 6,392.43 : x
  2. Step 2: Convert to fraction form
    9,375.21/12,932.06 = 6,392.43/x
  3. Step 3: Cross multiply
    9,375.21x = 12,932.06 × 6,392.43
  4. Step 4: Simplify right side
    9,375.21x = 82,667,256.34
  5. Step 5: Solve for x
    x = 82,667,256.34/9,375.21
  6. Step 6: Final answer
    x = 8,817.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.