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Finding the Fourth Proportional to 2,586.44, 3,878.72 and 854.68

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Solution

The fourth proportional to 2,586.44, 3,878.72 and 854.68 is: 1,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.44 : 3,878.72 = 854.68 : x
  2. Step 2: Convert to fraction form
    2,586.44/3,878.72 = 854.68/x
  3. Step 3: Cross multiply
    2,586.44x = 3,878.72 × 854.68
  4. Step 4: Simplify right side
    2,586.44x = 3,315,064.41
  5. Step 5: Solve for x
    x = 3,315,064.41/2,586.44
  6. Step 6: Final answer
    x = 1,281.71

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Why These Related Problems?

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