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Finding the Fourth Proportional to 2,664.72, 3,999.13 and 1,740.03

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Solution

The fourth proportional to 2,664.72, 3,999.13 and 1,740.03 is: 2,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.72 : 3,999.13 = 1,740.03 : x
  2. Step 2: Convert to fraction form
    2,664.72/3,999.13 = 1,740.03/x
  3. Step 3: Cross multiply
    2,664.72x = 3,999.13 × 1,740.03
  4. Step 4: Simplify right side
    2,664.72x = 6,958,621.56
  5. Step 5: Solve for x
    x = 6,958,621.56/2,664.72
  6. Step 6: Final answer
    x = 2,611.39

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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.