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Finding the Fourth Proportional to 5,767.98, 7,952.37 and 3,777.81

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Solution

The fourth proportional to 5,767.98, 7,952.37 and 3,777.81 is: 5,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.98 : 7,952.37 = 3,777.81 : x
  2. Step 2: Convert to fraction form
    5,767.98/7,952.37 = 3,777.81/x
  3. Step 3: Cross multiply
    5,767.98x = 7,952.37 × 3,777.81
  4. Step 4: Simplify right side
    5,767.98x = 30,042,542.91
  5. Step 5: Solve for x
    x = 30,042,542.91/5,767.98
  6. Step 6: Final answer
    x = 5,208.50

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