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Finding the Fourth Proportional to 11,694.60, 16,135.92 and 6,978

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Solution

The fourth proportional to 11,694.60, 16,135.92 and 6,978 is: 9,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.60 : 16,135.92 = 6,978 : x
  2. Step 2: Convert to fraction form
    11,694.60/16,135.92 = 6,978/x
  3. Step 3: Cross multiply
    11,694.60x = 16,135.92 × 6,978
  4. Step 4: Simplify right side
    11,694.60x = 112,596,449.76
  5. Step 5: Solve for x
    x = 112,596,449.76/11,694.60
  6. Step 6: Final answer
    x = 9,628.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.