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Finding the Fourth Proportional to 3,841.16, 5,287.97 and 3,664.82

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Solution

The fourth proportional to 3,841.16, 5,287.97 and 3,664.82 is: 5,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.16 : 5,287.97 = 3,664.82 : x
  2. Step 2: Convert to fraction form
    3,841.16/5,287.97 = 3,664.82/x
  3. Step 3: Cross multiply
    3,841.16x = 5,287.97 × 3,664.82
  4. Step 4: Simplify right side
    3,841.16x = 19,379,480.60
  5. Step 5: Solve for x
    x = 19,379,480.60/3,841.16
  6. Step 6: Final answer
    x = 5,045.22

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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.