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Finding the Fourth Proportional to 13,524, 20,272.32 and 6,493.74

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Solution

The fourth proportional to 13,524, 20,272.32 and 6,493.74 is: 9,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 20,272.32 = 6,493.74 : x
  2. Step 2: Convert to fraction form
    13,524/20,272.32 = 6,493.74/x
  3. Step 3: Cross multiply
    13,524x = 20,272.32 × 6,493.74
  4. Step 4: Simplify right side
    13,524x = 131,643,175.28
  5. Step 5: Solve for x
    x = 131,643,175.28/13,524
  6. Step 6: Final answer
    x = 9,734.04

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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.