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Finding the Fourth Proportional to 2,608.61, 3,914.19 and 1,147.58

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Solution

The fourth proportional to 2,608.61, 3,914.19 and 1,147.58 is: 1,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.61 : 3,914.19 = 1,147.58 : x
  2. Step 2: Convert to fraction form
    2,608.61/3,914.19 = 1,147.58/x
  3. Step 3: Cross multiply
    2,608.61x = 3,914.19 × 1,147.58
  4. Step 4: Simplify right side
    2,608.61x = 4,491,846.16
  5. Step 5: Solve for x
    x = 4,491,846.16/2,608.61
  6. Step 6: Final answer
    x = 1,721.93

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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.