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Finding the Fourth Proportional to 1,334.91, 1,999.62 and 1,181.24

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Solution

The fourth proportional to 1,334.91, 1,999.62 and 1,181.24 is: 1,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.91 : 1,999.62 = 1,181.24 : x
  2. Step 2: Convert to fraction form
    1,334.91/1,999.62 = 1,181.24/x
  3. Step 3: Cross multiply
    1,334.91x = 1,999.62 × 1,181.24
  4. Step 4: Simplify right side
    1,334.91x = 2,362,021.13
  5. Step 5: Solve for x
    x = 2,362,021.13/1,334.91
  6. Step 6: Final answer
    x = 1,769.42

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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.