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Finding the Fourth Proportional to 13,338, 20,003.22 and 5,537.16

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Solution

The fourth proportional to 13,338, 20,003.22 and 5,537.16 is: 8,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 20,003.22 = 5,537.16 : x
  2. Step 2: Convert to fraction form
    13,338/20,003.22 = 5,537.16/x
  3. Step 3: Cross multiply
    13,338x = 20,003.22 × 5,537.16
  4. Step 4: Simplify right side
    13,338x = 110,761,029.66
  5. Step 5: Solve for x
    x = 110,761,029.66/13,338
  6. Step 6: Final answer
    x = 8,304.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.