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Finding the Fourth Proportional to 7,990.90, 11,978.24 and 3,824.80

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Solution

The fourth proportional to 7,990.90, 11,978.24 and 3,824.80 is: 5,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.90 : 11,978.24 = 3,824.80 : x
  2. Step 2: Convert to fraction form
    7,990.90/11,978.24 = 3,824.80/x
  3. Step 3: Cross multiply
    7,990.90x = 11,978.24 × 3,824.80
  4. Step 4: Simplify right side
    7,990.90x = 45,814,372.35
  5. Step 5: Solve for x
    x = 45,814,372.35/7,990.90
  6. Step 6: Final answer
    x = 5,733.32

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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.