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Finding the Fourth Proportional to 12,965.13, 17,892.90 and 11,959.92

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Solution

The fourth proportional to 12,965.13, 17,892.90 and 11,959.92 is: 16,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.13 : 17,892.90 = 11,959.92 : x
  2. Step 2: Convert to fraction form
    12,965.13/17,892.90 = 11,959.92/x
  3. Step 3: Cross multiply
    12,965.13x = 17,892.90 × 11,959.92
  4. Step 4: Simplify right side
    12,965.13x = 213,997,652.57
  5. Step 5: Solve for x
    x = 213,997,652.57/12,965.13
  6. Step 6: Final answer
    x = 16,505.63

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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.