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Finding the Fourth Proportional to 7,952.64, 11,928.93 and 2,109.30

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Solution

The fourth proportional to 7,952.64, 11,928.93 and 2,109.30 is: 3,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.64 : 11,928.93 = 2,109.30 : x
  2. Step 2: Convert to fraction form
    7,952.64/11,928.93 = 2,109.30/x
  3. Step 3: Cross multiply
    7,952.64x = 11,928.93 × 2,109.30
  4. Step 4: Simplify right side
    7,952.64x = 25,161,692.05
  5. Step 5: Solve for x
    x = 25,161,692.05/7,952.64
  6. Step 6: Final answer
    x = 3,163.94

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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.