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Finding the Fourth Proportional to 1,840.07, 2,760.09 and 744.42

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Solution

The fourth proportional to 1,840.07, 2,760.09 and 744.42 is: 1,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.07 : 2,760.09 = 744.42 : x
  2. Step 2: Convert to fraction form
    1,840.07/2,760.09 = 744.42/x
  3. Step 3: Cross multiply
    1,840.07x = 2,760.09 × 744.42
  4. Step 4: Simplify right side
    1,840.07x = 2,054,659.30
  5. Step 5: Solve for x
    x = 2,054,659.30/1,840.07
  6. Step 6: Final answer
    x = 1,116.62

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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.