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Finding the Fourth Proportional to 10,906.97, 16,339.03 and 7,197.88

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Solution

The fourth proportional to 10,906.97, 16,339.03 and 7,197.88 is: 10,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.97 : 16,339.03 = 7,197.88 : x
  2. Step 2: Convert to fraction form
    10,906.97/16,339.03 = 7,197.88/x
  3. Step 3: Cross multiply
    10,906.97x = 16,339.03 × 7,197.88
  4. Step 4: Simplify right side
    10,906.97x = 117,606,336.41
  5. Step 5: Solve for x
    x = 117,606,336.41/10,906.97
  6. Step 6: Final answer
    x = 10,782.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.