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Finding the Fourth Proportional to 8,678, 13,016.52 and 2,438.44

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Solution

The fourth proportional to 8,678, 13,016.52 and 2,438.44 is: 3,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678 : 13,016.52 = 2,438.44 : x
  2. Step 2: Convert to fraction form
    8,678/13,016.52 = 2,438.44/x
  3. Step 3: Cross multiply
    8,678x = 13,016.52 × 2,438.44
  4. Step 4: Simplify right side
    8,678x = 31,740,003.03
  5. Step 5: Solve for x
    x = 31,740,003.03/8,678
  6. Step 6: Final answer
    x = 3,657.53

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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.