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Finding the Fourth Proportional to 2,188.94, 3,282.60 and 801.80

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Solution

The fourth proportional to 2,188.94, 3,282.60 and 801.80 is: 1,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.94 : 3,282.60 = 801.80 : x
  2. Step 2: Convert to fraction form
    2,188.94/3,282.60 = 801.80/x
  3. Step 3: Cross multiply
    2,188.94x = 3,282.60 × 801.80
  4. Step 4: Simplify right side
    2,188.94x = 2,631,988.68
  5. Step 5: Solve for x
    x = 2,631,988.68/2,188.94
  6. Step 6: Final answer
    x = 1,202.40

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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.