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Finding the Fourth Proportional to 3,018.58, 4,527.90 and 827.31

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Solution

The fourth proportional to 3,018.58, 4,527.90 and 827.31 is: 1,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.58 : 4,527.90 = 827.31 : x
  2. Step 2: Convert to fraction form
    3,018.58/4,527.90 = 827.31/x
  3. Step 3: Cross multiply
    3,018.58x = 4,527.90 × 827.31
  4. Step 4: Simplify right side
    3,018.58x = 3,745,965.28
  5. Step 5: Solve for x
    x = 3,745,965.28/3,018.58
  6. Step 6: Final answer
    x = 1,240.97

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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.