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Finding the Fourth Proportional to 11,664.46, 17,493.48 and 6,980.78

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Solution

The fourth proportional to 11,664.46, 17,493.48 and 6,980.78 is: 10,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.46 : 17,493.48 = 6,980.78 : x
  2. Step 2: Convert to fraction form
    11,664.46/17,493.48 = 6,980.78/x
  3. Step 3: Cross multiply
    11,664.46x = 17,493.48 × 6,980.78
  4. Step 4: Simplify right side
    11,664.46x = 122,118,135.31
  5. Step 5: Solve for x
    x = 122,118,135.31/11,664.46
  6. Step 6: Final answer
    x = 10,469.25

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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.