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Finding the Fourth Proportional to 17,668.20, 26,531.10 and 12,772.20

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Solution

The fourth proportional to 17,668.20, 26,531.10 and 12,772.20 is: 19,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.20 : 26,531.10 = 12,772.20 : x
  2. Step 2: Convert to fraction form
    17,668.20/26,531.10 = 12,772.20/x
  3. Step 3: Cross multiply
    17,668.20x = 26,531.10 × 12,772.20
  4. Step 4: Simplify right side
    17,668.20x = 338,860,515.42
  5. Step 5: Solve for x
    x = 338,860,515.42/17,668.20
  6. Step 6: Final answer
    x = 19,179.12

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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.