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Finding the Fourth Proportional to 4,781.86, 7,173.81 and 1,661.97

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Solution

The fourth proportional to 4,781.86, 7,173.81 and 1,661.97 is: 2,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.86 : 7,173.81 = 1,661.97 : x
  2. Step 2: Convert to fraction form
    4,781.86/7,173.81 = 1,661.97/x
  3. Step 3: Cross multiply
    4,781.86x = 7,173.81 × 1,661.97
  4. Step 4: Simplify right side
    4,781.86x = 11,922,657.01
  5. Step 5: Solve for x
    x = 11,922,657.01/4,781.86
  6. Step 6: Final answer
    x = 2,493.31

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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.