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Finding the Fourth Proportional to 12,723.75, 17,556.75 and 8,253.63

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Solution

The fourth proportional to 12,723.75, 17,556.75 and 8,253.63 is: 11,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.75 : 17,556.75 = 8,253.63 : x
  2. Step 2: Convert to fraction form
    12,723.75/17,556.75 = 8,253.63/x
  3. Step 3: Cross multiply
    12,723.75x = 17,556.75 × 8,253.63
  4. Step 4: Simplify right side
    12,723.75x = 144,906,918.50
  5. Step 5: Solve for x
    x = 144,906,918.50/12,723.75
  6. Step 6: Final answer
    x = 11,388.70

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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.