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Finding the Fourth Proportional to 9,232.40, 13,850.40 and 3,967.40

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Solution

The fourth proportional to 9,232.40, 13,850.40 and 3,967.40 is: 5,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.40 : 13,850.40 = 3,967.40 : x
  2. Step 2: Convert to fraction form
    9,232.40/13,850.40 = 3,967.40/x
  3. Step 3: Cross multiply
    9,232.40x = 13,850.40 × 3,967.40
  4. Step 4: Simplify right side
    9,232.40x = 54,950,076.96
  5. Step 5: Solve for x
    x = 54,950,076.96/9,232.40
  6. Step 6: Final answer
    x = 5,951.87

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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.