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Finding the Fourth Proportional to 20,956, 28,919.28 and 11,524.56

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Solution

The fourth proportional to 20,956, 28,919.28 and 11,524.56 is: 15,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956 : 28,919.28 = 11,524.56 : x
  2. Step 2: Convert to fraction form
    20,956/28,919.28 = 11,524.56/x
  3. Step 3: Cross multiply
    20,956x = 28,919.28 × 11,524.56
  4. Step 4: Simplify right side
    20,956x = 333,281,977.52
  5. Step 5: Solve for x
    x = 333,281,977.52/20,956
  6. Step 6: Final answer
    x = 15,903.89

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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.