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Finding the Fourth Proportional to 8,221.66, 11,343.17 and 4,636.17

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Solution

The fourth proportional to 8,221.66, 11,343.17 and 4,636.17 is: 6,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.66 : 11,343.17 = 4,636.17 : x
  2. Step 2: Convert to fraction form
    8,221.66/11,343.17 = 4,636.17/x
  3. Step 3: Cross multiply
    8,221.66x = 11,343.17 × 4,636.17
  4. Step 4: Simplify right side
    8,221.66x = 52,588,841.28
  5. Step 5: Solve for x
    x = 52,588,841.28/8,221.66
  6. Step 6: Final answer
    x = 6,396.38

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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.