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Finding the Fourth Proportional to 13,269, 19,891.08 and 4,497.80

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Solution

The fourth proportional to 13,269, 19,891.08 and 4,497.80 is: 6,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269 : 19,891.08 = 4,497.80 : x
  2. Step 2: Convert to fraction form
    13,269/19,891.08 = 4,497.80/x
  3. Step 3: Cross multiply
    13,269x = 19,891.08 × 4,497.80
  4. Step 4: Simplify right side
    13,269x = 89,466,099.62
  5. Step 5: Solve for x
    x = 89,466,099.62/13,269
  6. Step 6: Final answer
    x = 6,742.49

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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.