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Finding the Fourth Proportional to 1,231.88, 1,847.18 and 1,115.24

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Solution

The fourth proportional to 1,231.88, 1,847.18 and 1,115.24 is: 1,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.88 : 1,847.18 = 1,115.24 : x
  2. Step 2: Convert to fraction form
    1,231.88/1,847.18 = 1,115.24/x
  3. Step 3: Cross multiply
    1,231.88x = 1,847.18 × 1,115.24
  4. Step 4: Simplify right side
    1,231.88x = 2,060,049.02
  5. Step 5: Solve for x
    x = 2,060,049.02/1,231.88
  6. Step 6: Final answer
    x = 1,672.28

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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.