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Finding the Fourth Proportional to 2,181.87, 3,272.57 and 642.75

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Solution

The fourth proportional to 2,181.87, 3,272.57 and 642.75 is: 964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.87 : 3,272.57 = 642.75 : x
  2. Step 2: Convert to fraction form
    2,181.87/3,272.57 = 642.75/x
  3. Step 3: Cross multiply
    2,181.87x = 3,272.57 × 642.75
  4. Step 4: Simplify right side
    2,181.87x = 2,103,441.15
  5. Step 5: Solve for x
    x = 2,103,441.15/2,181.87
  6. Step 6: Final answer
    x = 964.05

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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.