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Finding the Fourth Proportional to 3,687.88, 5,532.81 and 1,608.06

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Solution

The fourth proportional to 3,687.88, 5,532.81 and 1,608.06 is: 2,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.88 : 5,532.81 = 1,608.06 : x
  2. Step 2: Convert to fraction form
    3,687.88/5,532.81 = 1,608.06/x
  3. Step 3: Cross multiply
    3,687.88x = 5,532.81 × 1,608.06
  4. Step 4: Simplify right side
    3,687.88x = 8,897,062.78
  5. Step 5: Solve for x
    x = 8,897,062.78/3,687.88
  6. Step 6: Final answer
    x = 2,412.51

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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.