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Finding the Fourth Proportional to 20,152.08, 30,222 and 7,662.96

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Solution

The fourth proportional to 20,152.08, 30,222 and 7,662.96 is: 11,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.08 : 30,222 = 7,662.96 : x
  2. Step 2: Convert to fraction form
    20,152.08/30,222 = 7,662.96/x
  3. Step 3: Cross multiply
    20,152.08x = 30,222 × 7,662.96
  4. Step 4: Simplify right side
    20,152.08x = 231,589,977.12
  5. Step 5: Solve for x
    x = 231,589,977.12/20,152.08
  6. Step 6: Final answer
    x = 11,492.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.