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Finding the Fourth Proportional to 3,839, 5,297.88 and 2,443.64

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Solution

The fourth proportional to 3,839, 5,297.88 and 2,443.64 is: 3,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839 : 5,297.88 = 2,443.64 : x
  2. Step 2: Convert to fraction form
    3,839/5,297.88 = 2,443.64/x
  3. Step 3: Cross multiply
    3,839x = 5,297.88 × 2,443.64
  4. Step 4: Simplify right side
    3,839x = 12,946,111.48
  5. Step 5: Solve for x
    x = 12,946,111.48/3,839
  6. Step 6: Final answer
    x = 3,372.26

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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.