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Finding the Fourth Proportional to 20,028, 27,640.26 and 11,646.12

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Solution

The fourth proportional to 20,028, 27,640.26 and 11,646.12 is: 16,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028 : 27,640.26 = 11,646.12 : x
  2. Step 2: Convert to fraction form
    20,028/27,640.26 = 11,646.12/x
  3. Step 3: Cross multiply
    20,028x = 27,640.26 × 11,646.12
  4. Step 4: Simplify right side
    20,028x = 321,901,784.79
  5. Step 5: Solve for x
    x = 321,901,784.79/20,028
  6. Step 6: Final answer
    x = 16,072.59

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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.