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Finding the Fourth Proportional to 4,509.97, 6,781.41 and 4,149.11

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Solution

The fourth proportional to 4,509.97, 6,781.41 and 4,149.11 is: 6,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.97 : 6,781.41 = 4,149.11 : x
  2. Step 2: Convert to fraction form
    4,509.97/6,781.41 = 4,149.11/x
  3. Step 3: Cross multiply
    4,509.97x = 6,781.41 × 4,149.11
  4. Step 4: Simplify right side
    4,509.97x = 28,136,816.05
  5. Step 5: Solve for x
    x = 28,136,816.05/4,509.97
  6. Step 6: Final answer
    x = 6,238.80

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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.