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Finding the Fourth Proportional to 7,928.42, 11,891.72 and 2,663.22

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Solution

The fourth proportional to 7,928.42, 11,891.72 and 2,663.22 is: 3,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.42 : 11,891.72 = 2,663.22 : x
  2. Step 2: Convert to fraction form
    7,928.42/11,891.72 = 2,663.22/x
  3. Step 3: Cross multiply
    7,928.42x = 11,891.72 × 2,663.22
  4. Step 4: Simplify right side
    7,928.42x = 31,670,273.20
  5. Step 5: Solve for x
    x = 31,670,273.20/7,928.42
  6. Step 6: Final answer
    x = 3,994.52

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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.