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Finding the Fourth Proportional to 11,970, 16,517.70 and 6,664.74

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Solution

The fourth proportional to 11,970, 16,517.70 and 6,664.74 is: 9,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 16,517.70 = 6,664.74 : x
  2. Step 2: Convert to fraction form
    11,970/16,517.70 = 6,664.74/x
  3. Step 3: Cross multiply
    11,970x = 16,517.70 × 6,664.74
  4. Step 4: Simplify right side
    11,970x = 110,086,175.90
  5. Step 5: Solve for x
    x = 110,086,175.90/11,970
  6. Step 6: Final answer
    x = 9,196.84

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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.