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Finding the Fourth Proportional to 2,608.49, 3,914.00 and 1,147.46

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Solution

The fourth proportional to 2,608.49, 3,914.00 and 1,147.46 is: 1,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.49 : 3,914.00 = 1,147.46 : x
  2. Step 2: Convert to fraction form
    2,608.49/3,914.00 = 1,147.46/x
  3. Step 3: Cross multiply
    2,608.49x = 3,914.00 × 1,147.46
  4. Step 4: Simplify right side
    2,608.49x = 4,491,141.74
  5. Step 5: Solve for x
    x = 4,491,141.74/2,608.49
  6. Step 6: Final answer
    x = 1,721.74

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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.