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Finding the Fourth Proportional to 15,838.73, 21,857.22 and 8,668.48

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Solution

The fourth proportional to 15,838.73, 21,857.22 and 8,668.48 is: 11,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.73 : 21,857.22 = 8,668.48 : x
  2. Step 2: Convert to fraction form
    15,838.73/21,857.22 = 8,668.48/x
  3. Step 3: Cross multiply
    15,838.73x = 21,857.22 × 8,668.48
  4. Step 4: Simplify right side
    15,838.73x = 189,468,819.78
  5. Step 5: Solve for x
    x = 189,468,819.78/15,838.73
  6. Step 6: Final answer
    x = 11,962.37

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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.