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Finding the Fourth Proportional to 2,182.56, 3,273.68 and 643.60

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Solution

The fourth proportional to 2,182.56, 3,273.68 and 643.60 is: 965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.56 : 3,273.68 = 643.60 : x
  2. Step 2: Convert to fraction form
    2,182.56/3,273.68 = 643.60/x
  3. Step 3: Cross multiply
    2,182.56x = 3,273.68 × 643.60
  4. Step 4: Simplify right side
    2,182.56x = 2,106,940.45
  5. Step 5: Solve for x
    x = 2,106,940.45/2,182.56
  6. Step 6: Final answer
    x = 965.35

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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.