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Finding the Fourth Proportional to 13,474, 20,211.72 and 4,240.72

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Solution

The fourth proportional to 13,474, 20,211.72 and 4,240.72 is: 6,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474 : 20,211.72 = 4,240.72 : x
  2. Step 2: Convert to fraction form
    13,474/20,211.72 = 4,240.72/x
  3. Step 3: Cross multiply
    13,474x = 20,211.72 × 4,240.72
  4. Step 4: Simplify right side
    13,474x = 85,712,245.24
  5. Step 5: Solve for x
    x = 85,712,245.24/13,474
  6. Step 6: Final answer
    x = 6,361.31

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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.