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Finding the Fourth Proportional to 11,969.40, 16,519.80 and 6,932.80

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Solution

The fourth proportional to 11,969.40, 16,519.80 and 6,932.80 is: 9,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.40 : 16,519.80 = 6,932.80 : x
  2. Step 2: Convert to fraction form
    11,969.40/16,519.80 = 6,932.80/x
  3. Step 3: Cross multiply
    11,969.40x = 16,519.80 × 6,932.80
  4. Step 4: Simplify right side
    11,969.40x = 114,528,469.44
  5. Step 5: Solve for x
    x = 114,528,469.44/11,969.40
  6. Step 6: Final answer
    x = 9,568.44

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1.5x scale

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.