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Finding the Fourth Proportional to 11,965, 16,511.70 and 6,997

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Solution

The fourth proportional to 11,965, 16,511.70 and 6,997 is: 9,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965 : 16,511.70 = 6,997 : x
  2. Step 2: Convert to fraction form
    11,965/16,511.70 = 6,997/x
  3. Step 3: Cross multiply
    11,965x = 16,511.70 × 6,997
  4. Step 4: Simplify right side
    11,965x = 115,532,364.90
  5. Step 5: Solve for x
    x = 115,532,364.90/11,965
  6. Step 6: Final answer
    x = 9,655.86

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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.