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Finding the Fourth Proportional to 2,687.37, 3,708 and 1,537.41

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Solution

The fourth proportional to 2,687.37, 3,708 and 1,537.41 is: 2,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.37 : 3,708 = 1,537.41 : x
  2. Step 2: Convert to fraction form
    2,687.37/3,708 = 1,537.41/x
  3. Step 3: Cross multiply
    2,687.37x = 3,708 × 1,537.41
  4. Step 4: Simplify right side
    2,687.37x = 5,700,716.28
  5. Step 5: Solve for x
    x = 5,700,716.28/2,687.37
  6. Step 6: Final answer
    x = 2,121.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.