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Finding the Fourth Proportional to 2,687.54, 3,708.33 and 1,755.50

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Solution

The fourth proportional to 2,687.54, 3,708.33 and 1,755.50 is: 2,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.54 : 3,708.33 = 1,755.50 : x
  2. Step 2: Convert to fraction form
    2,687.54/3,708.33 = 1,755.50/x
  3. Step 3: Cross multiply
    2,687.54x = 3,708.33 × 1,755.50
  4. Step 4: Simplify right side
    2,687.54x = 6,509,973.32
  5. Step 5: Solve for x
    x = 6,509,973.32/2,687.54
  6. Step 6: Final answer
    x = 2,422.28

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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.