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Finding the Fourth Proportional to 8,122, 11,208.39 and 4,396

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Solution

The fourth proportional to 8,122, 11,208.39 and 4,396 is: 6,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122 : 11,208.39 = 4,396 : x
  2. Step 2: Convert to fraction form
    8,122/11,208.39 = 4,396/x
  3. Step 3: Cross multiply
    8,122x = 11,208.39 × 4,396
  4. Step 4: Simplify right side
    8,122x = 49,272,082.44
  5. Step 5: Solve for x
    x = 49,272,082.44/8,122
  6. Step 6: Final answer
    x = 6,066.50

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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.