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Finding the Fourth Proportional to 13,616.44, 20,424 and 4,256.38

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Solution

The fourth proportional to 13,616.44, 20,424 and 4,256.38 is: 6,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.44 : 20,424 = 4,256.38 : x
  2. Step 2: Convert to fraction form
    13,616.44/20,424 = 4,256.38/x
  3. Step 3: Cross multiply
    13,616.44x = 20,424 × 4,256.38
  4. Step 4: Simplify right side
    13,616.44x = 86,932,305.12
  5. Step 5: Solve for x
    x = 86,932,305.12/13,616.44
  6. Step 6: Final answer
    x = 6,384.36

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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.