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Finding the Fourth Proportional to 18,224.32, 27,321.76 and 7,687.54

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Solution

The fourth proportional to 18,224.32, 27,321.76 and 7,687.54 is: 11,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.32 : 27,321.76 = 7,687.54 : x
  2. Step 2: Convert to fraction form
    18,224.32/27,321.76 = 7,687.54/x
  3. Step 3: Cross multiply
    18,224.32x = 27,321.76 × 7,687.54
  4. Step 4: Simplify right side
    18,224.32x = 210,037,122.87
  5. Step 5: Solve for x
    x = 210,037,122.87/18,224.32
  6. Step 6: Final answer
    x = 11,525.10

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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.