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Finding the Fourth Proportional to 8,274.38, 11,419.60 and 4,917.22

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Solution

The fourth proportional to 8,274.38, 11,419.60 and 4,917.22 is: 6,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.38 : 11,419.60 = 4,917.22 : x
  2. Step 2: Convert to fraction form
    8,274.38/11,419.60 = 4,917.22/x
  3. Step 3: Cross multiply
    8,274.38x = 11,419.60 × 4,917.22
  4. Step 4: Simplify right side
    8,274.38x = 56,152,649.20
  5. Step 5: Solve for x
    x = 56,152,649.20/8,274.38
  6. Step 6: Final answer
    x = 6,786.33

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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.