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Finding the Fourth Proportional to 7,998.40, 11,965.56 and 6,914.44

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Solution

The fourth proportional to 7,998.40, 11,965.56 and 6,914.44 is: 10,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.40 : 11,965.56 = 6,914.44 : x
  2. Step 2: Convert to fraction form
    7,998.40/11,965.56 = 6,914.44/x
  3. Step 3: Cross multiply
    7,998.40x = 11,965.56 × 6,914.44
  4. Step 4: Simplify right side
    7,998.40x = 82,735,146.69
  5. Step 5: Solve for x
    x = 82,735,146.69/7,998.40
  6. Step 6: Final answer
    x = 10,343.96

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1.5x scale

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.