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Finding the Fourth Proportional to 2,586, 3,877.68 and 854

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Solution

The fourth proportional to 2,586, 3,877.68 and 854 is: 1,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,877.68 = 854 : x
  2. Step 2: Convert to fraction form
    2,586/3,877.68 = 854/x
  3. Step 3: Cross multiply
    2,586x = 3,877.68 × 854
  4. Step 4: Simplify right side
    2,586x = 3,311,538.72
  5. Step 5: Solve for x
    x = 3,311,538.72/2,586
  6. Step 6: Final answer
    x = 1,280.56

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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.