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Finding the Fourth Proportional to 2,187.11, 3,281.16 and 800.42

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Solution

The fourth proportional to 2,187.11, 3,281.16 and 800.42 is: 1,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.11 : 3,281.16 = 800.42 : x
  2. Step 2: Convert to fraction form
    2,187.11/3,281.16 = 800.42/x
  3. Step 3: Cross multiply
    2,187.11x = 3,281.16 × 800.42
  4. Step 4: Simplify right side
    2,187.11x = 2,626,295.16
  5. Step 5: Solve for x
    x = 2,626,295.16/2,187.11
  6. Step 6: Final answer
    x = 1,200.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.