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Finding the Fourth Proportional to 7,958.40, 11,936.16 and 3,344.64

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Solution

The fourth proportional to 7,958.40, 11,936.16 and 3,344.64 is: 5,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.40 : 11,936.16 = 3,344.64 : x
  2. Step 2: Convert to fraction form
    7,958.40/11,936.16 = 3,344.64/x
  3. Step 3: Cross multiply
    7,958.40x = 11,936.16 × 3,344.64
  4. Step 4: Simplify right side
    7,958.40x = 39,922,158.18
  5. Step 5: Solve for x
    x = 39,922,158.18/7,958.40
  6. Step 6: Final answer
    x = 5,016.35

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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.