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Finding the Fourth Proportional to 3,651.26, 5,476.87 and 1,342.78

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Solution

The fourth proportional to 3,651.26, 5,476.87 and 1,342.78 is: 2,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.26 : 5,476.87 = 1,342.78 : x
  2. Step 2: Convert to fraction form
    3,651.26/5,476.87 = 1,342.78/x
  3. Step 3: Cross multiply
    3,651.26x = 5,476.87 × 1,342.78
  4. Step 4: Simplify right side
    3,651.26x = 7,354,231.50
  5. Step 5: Solve for x
    x = 7,354,231.50/3,651.26
  6. Step 6: Final answer
    x = 2,014.16

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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.