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Finding the Fourth Proportional to 13,713, 20,571.12 and 4,479

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Solution

The fourth proportional to 13,713, 20,571.12 and 4,479 is: 6,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713 : 20,571.12 = 4,479 : x
  2. Step 2: Convert to fraction form
    13,713/20,571.12 = 4,479/x
  3. Step 3: Cross multiply
    13,713x = 20,571.12 × 4,479
  4. Step 4: Simplify right side
    13,713x = 92,138,046.48
  5. Step 5: Solve for x
    x = 92,138,046.48/13,713
  6. Step 6: Final answer
    x = 6,719.03

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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.