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Finding the Fourth Proportional to 13,872, 20,808 and 4,638.24

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Solution

The fourth proportional to 13,872, 20,808 and 4,638.24 is: 6,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872 : 20,808 = 4,638.24 : x
  2. Step 2: Convert to fraction form
    13,872/20,808 = 4,638.24/x
  3. Step 3: Cross multiply
    13,872x = 20,808 × 4,638.24
  4. Step 4: Simplify right side
    13,872x = 96,512,497.92
  5. Step 5: Solve for x
    x = 96,512,497.92/13,872
  6. Step 6: Final answer
    x = 6,957.36

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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.