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Finding the Fourth Proportional to 20,768.28, 28,659.78 and 11,337

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Solution

The fourth proportional to 20,768.28, 28,659.78 and 11,337 is: 15,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.28 : 28,659.78 = 11,337 : x
  2. Step 2: Convert to fraction form
    20,768.28/28,659.78 = 11,337/x
  3. Step 3: Cross multiply
    20,768.28x = 28,659.78 × 11,337
  4. Step 4: Simplify right side
    20,768.28x = 324,915,925.86
  5. Step 5: Solve for x
    x = 324,915,925.86/20,768.28
  6. Step 6: Final answer
    x = 15,644.82

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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.