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Finding the Fourth Proportional to 12,192.78, 18,286.44 and 7,263.84

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Solution

The fourth proportional to 12,192.78, 18,286.44 and 7,263.84 is: 10,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.78 : 18,286.44 = 7,263.84 : x
  2. Step 2: Convert to fraction form
    12,192.78/18,286.44 = 7,263.84/x
  3. Step 3: Cross multiply
    12,192.78x = 18,286.44 × 7,263.84
  4. Step 4: Simplify right side
    12,192.78x = 132,829,774.33
  5. Step 5: Solve for x
    x = 132,829,774.33/12,192.78
  6. Step 6: Final answer
    x = 10,894.13

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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.