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Finding the Fourth Proportional to 2,604.25, 3,906.38 and 1,065.25

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Solution

The fourth proportional to 2,604.25, 3,906.38 and 1,065.25 is: 1,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.25 : 3,906.38 = 1,065.25 : x
  2. Step 2: Convert to fraction form
    2,604.25/3,906.38 = 1,065.25/x
  3. Step 3: Cross multiply
    2,604.25x = 3,906.38 × 1,065.25
  4. Step 4: Simplify right side
    2,604.25x = 4,161,271.30
  5. Step 5: Solve for x
    x = 4,161,271.30/2,604.25
  6. Step 6: Final answer
    x = 1,597.88

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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.