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Finding the Fourth Proportional to 7,922.80, 11,878.80 and 3,764.80

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Solution

The fourth proportional to 7,922.80, 11,878.80 and 3,764.80 is: 5,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.80 : 11,878.80 = 3,764.80 : x
  2. Step 2: Convert to fraction form
    7,922.80/11,878.80 = 3,764.80/x
  3. Step 3: Cross multiply
    7,922.80x = 11,878.80 × 3,764.80
  4. Step 4: Simplify right side
    7,922.80x = 44,721,306.24
  5. Step 5: Solve for x
    x = 44,721,306.24/7,922.80
  6. Step 6: Final answer
    x = 5,644.63

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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.