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Finding the Fourth Proportional to 18,593.76, 27,897.12 and 8,212.80

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Solution

The fourth proportional to 18,593.76, 27,897.12 and 8,212.80 is: 12,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593.76 : 27,897.12 = 8,212.80 : x
  2. Step 2: Convert to fraction form
    18,593.76/27,897.12 = 8,212.80/x
  3. Step 3: Cross multiply
    18,593.76x = 27,897.12 × 8,212.80
  4. Step 4: Simplify right side
    18,593.76x = 229,113,467.14
  5. Step 5: Solve for x
    x = 229,113,467.14/18,593.76
  6. Step 6: Final answer
    x = 12,322.06

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1.5x scale

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.