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Finding the Fourth Proportional to 7,659, 11,488.41 and 3,968.46

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Solution

The fourth proportional to 7,659, 11,488.41 and 3,968.46 is: 5,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659 : 11,488.41 = 3,968.46 : x
  2. Step 2: Convert to fraction form
    7,659/11,488.41 = 3,968.46/x
  3. Step 3: Cross multiply
    7,659x = 11,488.41 × 3,968.46
  4. Step 4: Simplify right side
    7,659x = 45,591,295.55
  5. Step 5: Solve for x
    x = 45,591,295.55/7,659
  6. Step 6: Final answer
    x = 5,952.64

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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.