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Finding the Fourth Proportional to 11,911.68, 17,780.76 and 11,033.28

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Solution

The fourth proportional to 11,911.68, 17,780.76 and 11,033.28 is: 16,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.68 : 17,780.76 = 11,033.28 : x
  2. Step 2: Convert to fraction form
    11,911.68/17,780.76 = 11,033.28/x
  3. Step 3: Cross multiply
    11,911.68x = 17,780.76 × 11,033.28
  4. Step 4: Simplify right side
    11,911.68x = 196,180,103.69
  5. Step 5: Solve for x
    x = 196,180,103.69/11,911.68
  6. Step 6: Final answer
    x = 16,469.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.