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Finding the Fourth Proportional to 7,952.63, 11,928.96 and 2,109.29

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Solution

The fourth proportional to 7,952.63, 11,928.96 and 2,109.29 is: 3,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.63 : 11,928.96 = 2,109.29 : x
  2. Step 2: Convert to fraction form
    7,952.63/11,928.96 = 2,109.29/x
  3. Step 3: Cross multiply
    7,952.63x = 11,928.96 × 2,109.29
  4. Step 4: Simplify right side
    7,952.63x = 25,161,576.39
  5. Step 5: Solve for x
    x = 25,161,576.39/7,952.63
  6. Step 6: Final answer
    x = 3,163.93

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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.