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Finding the Fourth Proportional to 20,227, 27,912.98 and 11,275.24

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Solution

The fourth proportional to 20,227, 27,912.98 and 11,275.24 is: 15,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227 : 27,912.98 = 11,275.24 : x
  2. Step 2: Convert to fraction form
    20,227/27,912.98 = 11,275.24/x
  3. Step 3: Cross multiply
    20,227x = 27,912.98 × 11,275.24
  4. Step 4: Simplify right side
    20,227x = 314,725,548.62
  5. Step 5: Solve for x
    x = 314,725,548.62/20,227
  6. Step 6: Final answer
    x = 15,559.68

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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.