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Finding the Fourth Proportional to 1,241.12, 1,861.23 and 548.12

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Solution

The fourth proportional to 1,241.12, 1,861.23 and 548.12 is: 821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.12 : 1,861.23 = 548.12 : x
  2. Step 2: Convert to fraction form
    1,241.12/1,861.23 = 548.12/x
  3. Step 3: Cross multiply
    1,241.12x = 1,861.23 × 548.12
  4. Step 4: Simplify right side
    1,241.12x = 1,020,170.54
  5. Step 5: Solve for x
    x = 1,020,170.54/1,241.12
  6. Step 6: Final answer
    x = 821.97

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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.