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Finding the Fourth Proportional to 11,319.20, 16,978.80 and 7,757.82

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Solution

The fourth proportional to 11,319.20, 16,978.80 and 7,757.82 is: 11,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.20 : 16,978.80 = 7,757.82 : x
  2. Step 2: Convert to fraction form
    11,319.20/16,978.80 = 7,757.82/x
  3. Step 3: Cross multiply
    11,319.20x = 16,978.80 × 7,757.82
  4. Step 4: Simplify right side
    11,319.20x = 131,718,474.22
  5. Step 5: Solve for x
    x = 131,718,474.22/11,319.20
  6. Step 6: Final answer
    x = 11,636.73

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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.