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Finding the Fourth Proportional to 6,574.50, 9,072.81 and 3,781.62

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Solution

The fourth proportional to 6,574.50, 9,072.81 and 3,781.62 is: 5,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.50 : 9,072.81 = 3,781.62 : x
  2. Step 2: Convert to fraction form
    6,574.50/9,072.81 = 3,781.62/x
  3. Step 3: Cross multiply
    6,574.50x = 9,072.81 × 3,781.62
  4. Step 4: Simplify right side
    6,574.50x = 34,309,919.75
  5. Step 5: Solve for x
    x = 34,309,919.75/6,574.50
  6. Step 6: Final answer
    x = 5,218.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.