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Finding the Fourth Proportional to 2,608.00, 3,912.01 and 854.21

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Solution

The fourth proportional to 2,608.00, 3,912.01 and 854.21 is: 1,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.00 : 3,912.01 = 854.21 : x
  2. Step 2: Convert to fraction form
    2,608.00/3,912.01 = 854.21/x
  3. Step 3: Cross multiply
    2,608.00x = 3,912.01 × 854.21
  4. Step 4: Simplify right side
    2,608.00x = 3,341,685.71
  5. Step 5: Solve for x
    x = 3,341,685.71/2,608.00
  6. Step 6: Final answer
    x = 1,281.32

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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.