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Finding the Fourth Proportional to 7,958.26, 11,857.40 and 7,511.14

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Solution

The fourth proportional to 7,958.26, 11,857.40 and 7,511.14 is: 11,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.26 : 11,857.40 = 7,511.14 : x
  2. Step 2: Convert to fraction form
    7,958.26/11,857.40 = 7,511.14/x
  3. Step 3: Cross multiply
    7,958.26x = 11,857.40 × 7,511.14
  4. Step 4: Simplify right side
    7,958.26x = 89,062,591.44
  5. Step 5: Solve for x
    x = 89,062,591.44/7,958.26
  6. Step 6: Final answer
    x = 11,191.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.