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Finding the Fourth Proportional to 20,181.96, 30,276.72 and 7,034.04

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Solution

The fourth proportional to 20,181.96, 30,276.72 and 7,034.04 is: 10,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.96 : 30,276.72 = 7,034.04 : x
  2. Step 2: Convert to fraction form
    20,181.96/30,276.72 = 7,034.04/x
  3. Step 3: Cross multiply
    20,181.96x = 30,276.72 × 7,034.04
  4. Step 4: Simplify right side
    20,181.96x = 212,967,659.55
  5. Step 5: Solve for x
    x = 212,967,659.55/20,181.96
  6. Step 6: Final answer
    x = 10,552.38

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