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Finding the Fourth Proportional to 2,187.80, 3,282.26 and 627.91

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Solution

The fourth proportional to 2,187.80, 3,282.26 and 627.91 is: 942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.80 : 3,282.26 = 627.91 : x
  2. Step 2: Convert to fraction form
    2,187.80/3,282.26 = 627.91/x
  3. Step 3: Cross multiply
    2,187.80x = 3,282.26 × 627.91
  4. Step 4: Simplify right side
    2,187.80x = 2,060,969.55
  5. Step 5: Solve for x
    x = 2,060,969.55/2,187.80
  6. Step 6: Final answer
    x = 942.03

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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.