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Finding the Fourth Proportional to 5,605.80, 7,728.78 and 3,834.33

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Solution

The fourth proportional to 5,605.80, 7,728.78 and 3,834.33 is: 5,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.80 : 7,728.78 = 3,834.33 : x
  2. Step 2: Convert to fraction form
    5,605.80/7,728.78 = 3,834.33/x
  3. Step 3: Cross multiply
    5,605.80x = 7,728.78 × 3,834.33
  4. Step 4: Simplify right side
    5,605.80x = 29,634,693.02
  5. Step 5: Solve for x
    x = 29,634,693.02/5,605.80
  6. Step 6: Final answer
    x = 5,286.43

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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.