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Finding the Fourth Proportional to 20,753.64, 28,639.80 and 11,322

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Solution

The fourth proportional to 20,753.64, 28,639.80 and 11,322 is: 15,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.64 : 28,639.80 = 11,322 : x
  2. Step 2: Convert to fraction form
    20,753.64/28,639.80 = 11,322/x
  3. Step 3: Cross multiply
    20,753.64x = 28,639.80 × 11,322
  4. Step 4: Simplify right side
    20,753.64x = 324,259,815.60
  5. Step 5: Solve for x
    x = 324,259,815.60/20,753.64
  6. Step 6: Final answer
    x = 15,624.24

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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.