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Finding the Fourth Proportional to 1,236.98, 1,853.40 and 871.11

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Solution

The fourth proportional to 1,236.98, 1,853.40 and 871.11 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.98 : 1,853.40 = 871.11 : x
  2. Step 2: Convert to fraction form
    1,236.98/1,853.40 = 871.11/x
  3. Step 3: Cross multiply
    1,236.98x = 1,853.40 × 871.11
  4. Step 4: Simplify right side
    1,236.98x = 1,614,515.27
  5. Step 5: Solve for x
    x = 1,614,515.27/1,236.98
  6. Step 6: Final answer
    x = 1,305.21

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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.