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Finding the Fourth Proportional to 2,091.92, 3,136.68 and 630.64

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Solution

The fourth proportional to 2,091.92, 3,136.68 and 630.64 is: 945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.92 : 3,136.68 = 630.64 : x
  2. Step 2: Convert to fraction form
    2,091.92/3,136.68 = 630.64/x
  3. Step 3: Cross multiply
    2,091.92x = 3,136.68 × 630.64
  4. Step 4: Simplify right side
    2,091.92x = 1,978,115.88
  5. Step 5: Solve for x
    x = 1,978,115.88/2,091.92
  6. Step 6: Final answer
    x = 945.60

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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.