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Finding the Fourth Proportional to 10,704.54, 14,786.38 and 8,217.38

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Solution

The fourth proportional to 10,704.54, 14,786.38 and 8,217.38 is: 11,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.54 : 14,786.38 = 8,217.38 : x
  2. Step 2: Convert to fraction form
    10,704.54/14,786.38 = 8,217.38/x
  3. Step 3: Cross multiply
    10,704.54x = 14,786.38 × 8,217.38
  4. Step 4: Simplify right side
    10,704.54x = 121,505,303.28
  5. Step 5: Solve for x
    x = 121,505,303.28/10,704.54
  6. Step 6: Final answer
    x = 11,350.82

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Double scale
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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.