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Finding the Fourth Proportional to 3,086.50, 4,230.80 and 3,044.97

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Solution

The fourth proportional to 3,086.50, 4,230.80 and 3,044.97 is: 4,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.50 : 4,230.80 = 3,044.97 : x
  2. Step 2: Convert to fraction form
    3,086.50/4,230.80 = 3,044.97/x
  3. Step 3: Cross multiply
    3,086.50x = 4,230.80 × 3,044.97
  4. Step 4: Simplify right side
    3,086.50x = 12,882,666.69
  5. Step 5: Solve for x
    x = 12,882,666.69/3,086.50
  6. Step 6: Final answer
    x = 4,173.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.