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Finding the Fourth Proportional to 2,481.40, 3,721.69 and 725.99

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Solution

The fourth proportional to 2,481.40, 3,721.69 and 725.99 is: 1,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.40 : 3,721.69 = 725.99 : x
  2. Step 2: Convert to fraction form
    2,481.40/3,721.69 = 725.99/x
  3. Step 3: Cross multiply
    2,481.40x = 3,721.69 × 725.99
  4. Step 4: Simplify right side
    2,481.40x = 2,701,900.42
  5. Step 5: Solve for x
    x = 2,701,900.42/2,481.40
  6. Step 6: Final answer
    x = 1,088.86

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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.