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Finding the Fourth Proportional to 4,550.68, 6,820.96 and 4,181.60

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Solution

The fourth proportional to 4,550.68, 6,820.96 and 4,181.60 is: 6,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.68 : 6,820.96 = 4,181.60 : x
  2. Step 2: Convert to fraction form
    4,550.68/6,820.96 = 4,181.60/x
  3. Step 3: Cross multiply
    4,550.68x = 6,820.96 × 4,181.60
  4. Step 4: Simplify right side
    4,550.68x = 28,522,526.34
  5. Step 5: Solve for x
    x = 28,522,526.34/4,550.68
  6. Step 6: Final answer
    x = 6,267.75

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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.