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Finding the Fourth Proportional to 20,250, 27,942.03 and 11,296.80

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Solution

The fourth proportional to 20,250, 27,942.03 and 11,296.80 is: 15,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250 : 27,942.03 = 11,296.80 : x
  2. Step 2: Convert to fraction form
    20,250/27,942.03 = 11,296.80/x
  3. Step 3: Cross multiply
    20,250x = 27,942.03 × 11,296.80
  4. Step 4: Simplify right side
    20,250x = 315,655,524.50
  5. Step 5: Solve for x
    x = 315,655,524.50/20,250
  6. Step 6: Final answer
    x = 15,587.93

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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.