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Finding the Fourth Proportional to 13,422.72, 20,134.54 and 3,563

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Solution

The fourth proportional to 13,422.72, 20,134.54 and 3,563 is: 5,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.72 : 20,134.54 = 3,563 : x
  2. Step 2: Convert to fraction form
    13,422.72/20,134.54 = 3,563/x
  3. Step 3: Cross multiply
    13,422.72x = 20,134.54 × 3,563
  4. Step 4: Simplify right side
    13,422.72x = 71,739,366.02
  5. Step 5: Solve for x
    x = 71,739,366.02/13,422.72
  6. Step 6: Final answer
    x = 5,344.62

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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.