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Finding the Fourth Proportional to 7,759.92, 11,634.12 and 6,978

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Solution

The fourth proportional to 7,759.92, 11,634.12 and 6,978 is: 10,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.92 : 11,634.12 = 6,978 : x
  2. Step 2: Convert to fraction form
    7,759.92/11,634.12 = 6,978/x
  3. Step 3: Cross multiply
    7,759.92x = 11,634.12 × 6,978
  4. Step 4: Simplify right side
    7,759.92x = 81,182,889.36
  5. Step 5: Solve for x
    x = 81,182,889.36/7,759.92
  6. Step 6: Final answer
    x = 10,461.82

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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.