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Finding the Fourth Proportional to 3,768.98, 5,651.16 and 1,688.58

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Solution

The fourth proportional to 3,768.98, 5,651.16 and 1,688.58 is: 2,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.98 : 5,651.16 = 1,688.58 : x
  2. Step 2: Convert to fraction form
    3,768.98/5,651.16 = 1,688.58/x
  3. Step 3: Cross multiply
    3,768.98x = 5,651.16 × 1,688.58
  4. Step 4: Simplify right side
    3,768.98x = 9,542,435.75
  5. Step 5: Solve for x
    x = 9,542,435.75/3,768.98
  6. Step 6: Final answer
    x = 2,531.84

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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.