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Finding the Fourth Proportional to 13,478, 20,217.72 and 4,244.72

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Solution

The fourth proportional to 13,478, 20,217.72 and 4,244.72 is: 6,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 20,217.72 = 4,244.72 : x
  2. Step 2: Convert to fraction form
    13,478/20,217.72 = 4,244.72/x
  3. Step 3: Cross multiply
    13,478x = 20,217.72 × 4,244.72
  4. Step 4: Simplify right side
    13,478x = 85,818,560.44
  5. Step 5: Solve for x
    x = 85,818,560.44/13,478
  6. Step 6: Final answer
    x = 6,367.31

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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.