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Finding the Fourth Proportional to 12,940.73, 17,857.95 and 8,159.70

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Solution

The fourth proportional to 12,940.73, 17,857.95 and 8,159.70 is: 11,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.73 : 17,857.95 = 8,159.70 : x
  2. Step 2: Convert to fraction form
    12,940.73/17,857.95 = 8,159.70/x
  3. Step 3: Cross multiply
    12,940.73x = 17,857.95 × 8,159.70
  4. Step 4: Simplify right side
    12,940.73x = 145,715,514.62
  5. Step 5: Solve for x
    x = 145,715,514.62/12,940.73
  6. Step 6: Final answer
    x = 11,260.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.