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Finding the Fourth Proportional to 14,481.63, 19,984.64 and 7,857.63

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Solution

The fourth proportional to 14,481.63, 19,984.64 and 7,857.63 is: 10,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.63 : 19,984.64 = 7,857.63 : x
  2. Step 2: Convert to fraction form
    14,481.63/19,984.64 = 7,857.63/x
  3. Step 3: Cross multiply
    14,481.63x = 19,984.64 × 7,857.63
  4. Step 4: Simplify right side
    14,481.63x = 157,031,906.80
  5. Step 5: Solve for x
    x = 157,031,906.80/14,481.63
  6. Step 6: Final answer
    x = 10,843.52

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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.