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Finding the Fourth Proportional to 3,687.07, 5,525.68 and 1,344.87

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Solution

The fourth proportional to 3,687.07, 5,525.68 and 1,344.87 is: 2,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.07 : 5,525.68 = 1,344.87 : x
  2. Step 2: Convert to fraction form
    3,687.07/5,525.68 = 1,344.87/x
  3. Step 3: Cross multiply
    3,687.07x = 5,525.68 × 1,344.87
  4. Step 4: Simplify right side
    3,687.07x = 7,431,321.26
  5. Step 5: Solve for x
    x = 7,431,321.26/3,687.07
  6. Step 6: Final answer
    x = 2,015.51

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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.