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Finding the Fourth Proportional to 6,782.27, 10,173.29 and 1,851.89

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Solution

The fourth proportional to 6,782.27, 10,173.29 and 1,851.89 is: 2,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.27 : 10,173.29 = 1,851.89 : x
  2. Step 2: Convert to fraction form
    6,782.27/10,173.29 = 1,851.89/x
  3. Step 3: Cross multiply
    6,782.27x = 10,173.29 × 1,851.89
  4. Step 4: Simplify right side
    6,782.27x = 18,839,753.89
  5. Step 5: Solve for x
    x = 18,839,753.89/6,782.27
  6. Step 6: Final answer
    x = 2,777.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.